Christian Berg

Christian Berg

Professor, emeritus

ORCID: 0000-0001-9440-0926

Publication year:
All
1 - 90 out of 90Page size: 500
  1. 2023
  2. Published

    A Family of Horn-Bernstein Functions

    Berg, Christian & Pedersen, Henrik Laurberg, 2023, In: Experimental Mathematics. 32, 3, p. 505-513

    Research output: Contribution to journal › Journal article › Research › peer-review

  3. 2022
  4. Published

    Self-adjoint operators associated with Hankel moment matrices

    Berg, Christian & Szwarc, R., 2022, In: Journal of Functional Analysis. 283, 10, p. 1-29 109674.

    Research output: Contribution to journal › Journal article › Research › peer-review

  5. 2021
  6. Published

    A Family of Entire Functions Connecting the Bessel Function J1 and the Lambert W  Function

    Berg, Christian, Massa, E. & Peron, A. P., 2021, In: Constructive Approximation. 53, 4, p. 121–154

    Research output: Contribution to journal › Journal article › Research › peer-review

  7. Published

    Completely monotonic ratios of basic and ordinary gamma functions

    Berg, Christian, Çetinkaya, A. & Karp, D., 2021, In: Aequationes Mathematicae. 95, 3, p. 569-588 20 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  8. Published

    Nielsen's beta function and some infinitely divisible distributions

    Berg, Christian, Koumandos, S. & Pedersen, Henrik Laurberg, 2021, In: Mathematische Nachrichten. 294, 3, p. 426-449

    Research output: Contribution to journal › Journal article › Research › peer-review

  9. 2020
  10. Published

    A Unified View of Space–Time Covariance Functions Through Gelfand Pairs

    Berg, Christian, 2020, In: Journal of Fourier Analysis and Applications. 26, 6, 26 p., 90.

    Research output: Contribution to journal › Journal article › Research › peer-review

  11. Published

    Closable Hankel Operators and Moment Problems

    Berg, Christian & Szwarc, R., 2020, In: Integral Equations and Operator Theory. 92, 1, 5.

    Research output: Contribution to journal › Journal article › Research › peer-review

  12. Published

    Determinacy versus indeterminacy

    Berg, Christian, 2020, In: Snapshots of modern mathematics from Oberwolfach. 2020, 04, 10 p.

    Research output: Contribution to journal › Journal article › Communication

  13. Published

    Riemanns Zetafunktion

    Berg, Christian, 2020, In: Kvant. 31, 1, p. 6-11

    Research output: Contribution to journal › Journal article › Communication

  14. 2019
  15. Published

    A two-parameter extension of urbanik’s product convolution semigroup

    Berg, Christian, 2019, In: Probability and Mathematical Statistics. 39, 2, p. 441-458 18 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  16. 2018
  17. Published

    Schoenberg's theorem for real and complex Hilbert spheres revisited

    Berg, Christian, Peron, A. P. & Porcu, E., Apr 2018, In: Journal of Approximation Theory. 228, p. 58-78

    Research output: Contribution to journal › Journal article › Research › peer-review

  18. Published

    Inverse of Infinite Hankel Moment Matrices

    Berg, Christian & Szwarc, R., 2018, In: Symmetry, Integrability and Geometry: Methods and Applications. 14, 48 p., 109.

    Research output: Contribution to journal › Journal article › Research › peer-review

  19. Published

    Orthogonal expansions related to compact Gelfand pairs

    Berg, Christian, Peron, A. P. & Porcu, E., 2018, In: Expositiones Mathematicae. 36, 3-4, p. 259-277

    Research output: Contribution to journal › Journal article › Research › peer-review

  20. Published

    Solvability of the Hankel determinant problem for real sequences

    Bakan, A. & Berg, Christian, 2018, Frontiers In Orthogonal Polynomials and Q-series. Nashed, M. Z. & Li, X. (eds.). World Scientific, p. 85-117 (Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes, Vol. 1).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  21. 2017
  22. Published

    From Schoenberg Coefficients to Schoenberg Functions

    Berg, Christian & Porcu, E., Apr 2017, In: Constructive Approximation. 45, 2, p. 217-241

    Research output: Contribution to journal › Journal article › Research › peer-review

  23. Published

    On a Family of Functions Studied by Bhatia and Jain

    Berg, Christian, 2017, In: Experimental Mathematics. 26, 2, p. 241-246

    Research output: Contribution to journal › Journal article › Research › peer-review

  24. Published

    Symmetric moment problems and a conjecture of Valent

    Berg, Christian & Szwarc, R., 2017, In: Sbornik: Mathematics. 208, 3, p. 335-359

    Research output: Contribution to journal › Journal article › Research › peer-review

  25. 2015
  26. Published

    A determinant characterization of moment sequences with finitely many mass points

    Berg, Christian & Szwarc, R., 3 Aug 2015, In: Linear and Multilinear Algebra. 63, 8, p. 1568-1576

    Research output: Contribution to journal › Journal article › Research › peer-review

  27. Published

    Asymptotic behaviour of the Urbanik semigroup

    Berg, Christian & Luis Lopez, J., Jul 2015, In: Journal of Approximation Theory. 195, p. 109-121

    Research output: Contribution to journal › Journal article › Research › peer-review

  28. Published

    Open problems

    Berg, Christian, 2015, In: Integral Transforms and Special Functions. 26, 2, p. 90-95

    Research output: Contribution to journal › Journal article › Research › peer-review

  29. 2014
  30. Published

    On the order of indeterminate moment problems

    Berg, Christian & Szwarc, R., 2014, In: Advances in Mathematics. 250, p. 105-143

    Research output: Contribution to journal › Journal article › Research › peer-review

  31. 2013
  32. Published

    Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function

    Qi, F. & Berg, Christian, 2013, In: Mediterranean Journal of Mathematics. 10, 4, p. 1685–1696

    Research output: Contribution to journal › Journal article › Research › peer-review

  33. Published

    On an Iteration Leading to a q-Analogue of the Digamma Function

    Berg, Christian & Petersen, H. B., 2013, In: Journal of Fourier Analysis and Applications. 19, 4, p. 762-776

    Research output: Contribution to journal › Journal article › Research › peer-review

  34. 2012
  35. Published

    A completely monotonic function used in an inequality of Alzer

    Berg, Christian & Pedersen, Henrik Laurberg, 2012, In: Computational Methods and Function Theory. 12, p. 329-341

    Research output: Contribution to journal › Journal article › Research › peer-review

  36. Published

    Derivation of an integral of Boros and Moll via convolution of Student t-densities

    Berg, Christian & Vignat, C., 2012, In: Ramanujan Journal. 27, 2, p. 147-150

    Research output: Contribution to journal › Journal article › Research › peer-review

  37. 2011
  38. Published

    A one-parameter family of pick functions defined by the gamma function and related to the volume of the unit ball in n-space

    Berg, Christian & Pedersen, Henrik Laurberg, 2011, In: Proceedings of the American Mathematical Society. 139, 6, p. 2121-2132 12 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  39. Published

    A question by T. S. Chihara about shell polynomials and indeterminate moment problems

    Berg, Christian & Christiansen, J. S., 2011, In: Journal of Approximation Theory. 163, 10, p. 1449-1464

    Research output: Contribution to journal › Journal article › Research › peer-review

  40. Published

    Book review of Barry Simon: Szego's Theorem and its Descendants: Spectral Theory for L^2 Perturbations of Orthogonal Polynomials. Princeton University Press, 2010

    Berg, Christian, 2011, In: Journal of Approximation Theory. 163, 8, p. 1029-1034

    Research output: Contribution to journal › Literature review › Communication

  41. Published

    Fibonacci numbers and orthogonal polynomials

    Berg, Christian, 2011, In: Arab Journal of Mathematical Sciences. 17, 2, p. 75-88

    Research output: Contribution to journal › Journal article › Research › peer-review

  42. Published

    Fibonacci numbers, Euler’s 2-periodic continued fractions and moment sequences

    Berg, Christian & Durán, A. J., 2011, In: Fibonacci Quarterly. 49, p. 66-75

    Research output: Contribution to journal › Journal article › Research › peer-review

  43. Published

    The smallest eigenvalue of Hankel matrices

    Berg, Christian & Szwarc, R., 2011, In: Constructive Approximation. 34, 1, p. 107-133

    Research output: Contribution to journal › Journal article › Research › peer-review

  44. 2010
  45. Published

    On a fixed point in the metric space of normalized Hausdorff moment sequences

    Berg, Christian & Beygmohammadi, M., 2010, In: Supplemento ai Rendiconti del Circolo matematico di Palermo. 82, p. 251-257

    Research output: Contribution to journal › Journal article › Research › peer-review

  46. Published

    On the density of the sum of two independent Student t-random vectors

    Berg, Christian & Vignat, C., 2010, In: Statistics & Probability Letters. 80, p. 1043-1055

    Research output: Contribution to journal › Journal article › Research › peer-review

  47. Published

    Positive polynomials and sums of squares by Murray Marshall. Mathematical Surveys and Monographs, Volume 146, AMS, Providence, RI 2008. ISBN 978-0-8218-4402-1: Book reviews

    Berg, Christian, 2010, In: Journal of Approximation Theory. 162, p. 236-238

    Research output: Contribution to journal › Literature review › Communication

  48. 2009
  49. Published

    Bounds on Turán determinants

    Berg, Christian & Szwarc, R., 2009, In: Journal of Approximation Theory. 161, p. 127-141

    Research output: Contribution to journal › Journal article › Research › peer-review

  50. Published

    Børge Jessen, 19.6.1907-20.3.1993: Biography of Jessen

    Berg, Christian, 2009, In: Electronic Journal for History of Probability and Statistics. 5, 1, 15 p.

    Research output: Contribution to journal › Journal article › Communication

  51. Published

    Quantum Hilbert matrices and orthogonal polynomials

    Berg, Christian & Andersen, J. E., 2009, In: Journal of Computational and Applied Mathematics. 233, p. 723-729

    Research output: Contribution to journal › Journal article › Research › peer-review

  52. 2008
  53. Published

    Convexity of the median in the gamma distribution

    Berg, Christian & Pedersen, Henrik Laurberg, 2008, In: Arkiv for Matematik. 46, 1, p. 1-6 6 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  54. Published

    Iteration of the rational function z-1/z and a Hausdorff moment sequence

    Berg, Christian & Durán, A. J., 2008, In: Expositiones Mathematicae. 26, p. 375-385

    Research output: Contribution to journal › Journal article › Research › peer-review

  55. Published

    Linearization coefficients of Bessel polynomials and properties of Student-t distributions

    Berg, Christian & Vignat, C., 2008, In: Constructive Approximation. 27, p. 15-32

    Research output: Contribution to journal › Journal article › Research › peer-review

  56. Published

    On some results of Cufaro Petroni about Student t-processes

    Berg, Christian & Vignat, C., 2008, In: Journal of Physics A: Mathematical and Theoretical (Print Edition). 41, 10 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  57. Published

    Stieltjes-Pick-Bernstein-Schoenberg and their connection to complete monotonicity

    Berg, Christian, 2008, Positive Definite Functions: From Schoenberg to Space-Time Challenges. Mateu, J. & Porcu, E. (eds.). Dept. of Mathematics, University Jaume I, Castellon, Spain, p. 15-45

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  58. Published

    The Dagum family of isotropic correlation functions

    Berg, Christian, Mateu, J. & Porcu, E., 2008, In: Bernoulli. 14, 4, p. 1134-1149

    Research output: Contribution to journal › Journal article › Research › peer-review

  59. Published

    The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function

    Berg, Christian & Durán, A. J., 2008, In: Mathematica Scandinavica. 103, p. 11-39

    Research output: Contribution to journal › Journal article › Research › peer-review

  60. 2007
  61. Published

    Complex Analysis

    Berg, Christian, 2007, 1. ed. Universitetsparken 5, 2100 København Ø: Universitetsbogladen. 190 p.

    Research output: Book/Report › Compendium/lecture notes › Education

  62. Published

    Logarithmic order and type of indeterminate moment problems

    Berg, Christian, Pedersen, Henrik Laurberg & Hayman, W., 2007, Proceedings of the international Conference "Difference Equations, Special Functions and Orthogonal Polynomials". Elaydi et al., S. (ed.). World Scientific, p. 51-79

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  63. Published

    On powers of Stieltjes moment sequences, II

    Berg, Christian, 2007, In: Journal of Computational and Applied Mathematics. 199, p. 23-38

    Research output: Contribution to journal › Journal article › Research › peer-review

  64. 2006
  65. Published

    Orthogonal Polynomials and analytic functions associated to positive definite matrices

    Berg, Christian & Duran, A. J., 2006, In: Journal of Mathematical Analysis and Applications. 315, 5, p. 54-67

    Research output: Contribution to journal › Journal article › Research › peer-review

  66. Published

    Ortogonale polynomier og Hilbertmatricen

    Berg, Christian, 2006, In: Normat - Nordisk Matematisk Tidsskrift. 54, 3, p. 116-133

    Research output: Contribution to journal › Journal article › Research › peer-review

  67. Published

    Some classes of completely montonic functions, II

    Alzer, H. & Berg, Christian, 2006, In: Ramanujan Journal. 11, p. 225-248

    Research output: Contribution to journal › Journal article › Research › peer-review

  68. Published

    The Chen-Rubin conjecture in a continuous setting

    Berg, Christian & Pedersen, Henrik Laurberg, 2006, In: Methods and Applications of Analysis. 13, 1, p. 63-88 26 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  69. 2005
  70. Published

    On a conjecture of Clark and Ismail

    Berg, Christian, Alzer, H. & Koumandos, S., 2005, In: Journal of Approximation Theory. 134, p. 102-113

    Research output: Contribution to journal › Journal article › Research › peer-review

  71. Published

    On powers on Stieltjes moment sequences, I

    Berg, Christian, 2005, In: Journal of Theoretical Probability. 18, p. 871-889

    Research output: Contribution to journal › Journal article › Research › peer-review

  72. Published

    Proceedings of the Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications

    Berg, Christian (ed.), Christiansen, J. S. (ed.) & Pedersen, H. L. (ed.), 2005, 538 p. (Journal of Computational and Applied Mathematics, Vol. 178).

    Research output: Book/Report › Anthology › Research › peer-review

  73. Published

    Some transformations of Hausdorff moment sequences and harmonic numbers

    Berg, Christian & Duran, A. J., 2005, In: Canad. J. Math.. 57, p. 941-960

    Research output: Contribution to journal › Journal article › Research › peer-review

  74. Published

    Theory and Applications of Special Functions: On a generalized Gamma convolution related to the q-calculus

    Berg, Christian, 2005, Berlin. 15 p. (Developments of Mathematics, Vol. 13).

    Research output: Book/Report › Anthology › Research › peer-review

  75. 2004
  76. Published

    A transformation from Hausdorff to Stieltjes moment sequences

    Berg, Christian & Duran, A. J., 2004, In: Arkiv for Matematik. 42, p. 239-257

    Research output: Contribution to journal › Journal article › Research › peer-review

  77. Published

    Correction to a paper by A.G. Pakes

    Berg, Christian, 2004, In: Journal of the Australian Mathematical Society. 76, p. 67-73

    Research output: Contribution to journal › Journal article › Research › peer-review

  78. Published

    Integral representation of some functions related to the gamma function

    Berg, Christian, 2004, In: Mediterranean Journal of Mathematics. 1, p. 433-439

    Research output: Contribution to journal › Journal article › Research › peer-review

  79. 2002
  80. Published

    Kompleks Funktionsteori

    Berg, Christian, 2002, Kompleks Funktionsteori. København: Universitetsbogladen, p. 156

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education

  81. Published

    Pick functions related to the Gamma function

    Berg, Christian & Pedersen, H. L., 2002, In: Rocky Mountain Journal of Mathematics. 32, 2, p. 507-525

    Research output: Contribution to journal › Journal article › Research › peer-review

  82. Published

    Small eigenvalues of large Hankel matrices. The indeterminate case

    Berg, Christian, Chen, Y. & Ismail, M. E. H., 2002, In: Mathematica Scandinavica. 91, p. 67-81

    Research output: Contribution to journal › Journal article › Research › peer-review

  83. Published

    Some Classes of Completely Monotonic Functions

    Berg, Christian & Alzer, H., 2002, In: Annales Academiae Scientiarum Fennicae. Mathematica. 27, p. 445-460

    Research output: Contribution to journal › Journal article › Research › peer-review

  84. 2001
  85. Published

    A Pick Function related to an Inequality for the Entropy Function

    Berg, Christian, 2001, In: Journal of Inequalities in Pure and Applied Mathematics. 26, 2, 3 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  86. Published

    A completely monotone function related to the Gamma function

    Berg, Christian & Pedersen, H. L., 2001, In: Journal of Computational and Applied Mathematics. 133, p. 219-230

    Research output: Contribution to journal › Journal article › Research › peer-review

  87. Published

    Generalized q-Hermite Polynomials

    Berg, Christian & Ruffing, A., 2001, In: Communications in Mathematical Physics. 223, 1, p. 29-46

    Research output: Contribution to journal › Journal article › Research › peer-review

  88. Published

    Kompleks Funktionsteori

    Berg, Christian, 2001, København Ø: Universitetsbogladen. 144 p.

    Research output: Book/Report › Book › Education

  89. 2000
  90. Published

    On Infinitely Divisible Solutions to Indeterminate Moment Problems

    Berg, Christian, 2000, Proceedings of the International Workshop on "Special Functions", Hong Kong, 21-25 June 1999, Editors C. Dunkl, M. Ismail. Singapore: World Scientific, p. 31-41

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  91. 1998
  92. Published

    From discrete to absolutely continuous solutions of indeterminate moment problems

    Berg, Christian, 1998, In: Arab J.Math.Sc.. 4, 2, p. 1-18

    Research output: Contribution to journal › Journal article › Research › peer-review

  93. Published

    On some indeterminate moment problems for measures on a geometric progression

    Berg, Christian, 1998, In: J. Comput. Appl. Math.. 99, p. 67-75

    Research output: Contribution to journal › Journal article › Research › peer-review

  94. 1997
  95. Published

    Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde

    Berg, Christian & Duran, A. J., 1997, In: Proc. Amer. Math. Soc.. 125, p. 523-530

    Research output: Contribution to journal › Journal article › Research › peer-review

  96. 1996
  97. Published

    Indeterminate moment problems and the theory of entire functions

    Berg, Christian, 1996, In: J. Comput. Appl. Math.. 65, p. 27-55

    Research output: Contribution to journal › Journal article › Research › peer-review

  98. Published

    Orthogonal polynomials, L2-spaces and entire functions

    Berg, Christian & Duran, A. J., 1996, In: Mathematica Scandinavica. 79, p. 209-223

    Research output: Contribution to journal › Journal article › Research › peer-review

  99. Published

    When does a discrete differential pertubation of a sequence of orthonormal polynomials belong to l2

    Berg, Christian & Duran, A. J., 1996, In: J. Funct. Anal.. 136, p. 127-153

    Research output: Contribution to journal › Journal article › Research › peer-review

  100. 1995
  101. Published

    Nevanlinna Matrices of Entire Functions

    Berg, Christian & Pedersen, H. L., 1995, In: Math. Nachr.. 171, p. 29-52

    Research output: Contribution to journal › Journal article › Research › peer-review

  102. Published

    Nevanlinna extremal measures for some orthogonal polynomials related to birth and death processes

    Berg, Christian & Valent, G., 1995, In: J. Comput. Appl. Math.. 57, p. 29-43

    Research output: Contribution to journal › Journal article › Research › peer-review

  103. Published

    Recent results about moment problems

    Berg, Christian, 1995, Probability measure on groups and related structures XI Proceedings Oberwolfach 1994. Singapore: World Scientific, p. 1-13

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  104. Published

    Sur la stabilite de la classe des probabilites "determinees"

    Berg, Christian, 1995, In: Seminaire d'Initiation a l'Analyse (1992-93). 32, p. 1-7

    Research output: Contribution to journal › Journal article › Research › peer-review

  105. Published

    The index of determinacy for measures and the l2-norm of orthonormal polynominals

    Berg, Christian & Duran, A. J., 1995, In: Transactions of the American Mathematical Society. 347, p. 2795-2811

    Research output: Contribution to journal › Journal article › Research › peer-review

  106. 1994
  107. Published

    Markov's Theorem Revisited

    Berg, Christian, 1994, In: J. Approximation Theory. 78, p. 260-275

    Research output: Contribution to journal › Journal article › Research › peer-review

  108. Published

    Nevanlinna extremal measures and zeros of entire functions

    Berg, Christian & Pedersen, H. L., 1994, Linear and Complex Analysis Problem Book 3, Part II: Lecture Notes in Mathematics. Havin, V. P. & Nikolski, N. K. (eds.). Berlin: Springer, Vol. 1574. p. 89-91

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  109. Published

    On the order and type of the entire functions associated with an indeterminate Hamburger moment problem

    Berg, Christian & Pedersen, H. L., 1994, In: Arkiv for Matematik. 32, p. 1-11

    Research output: Contribution to journal › Journal article › Research › peer-review

  110. Published

    The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes

    Berg, Christian & Valent, G., 1994, In: Methods and Applications of Analysis. 1, p. 169-209

    Research output: Contribution to journal › Journal article › Research › peer-review

  111. 1993
  112. Published

    Generation of generators of holomorphic semigroups

    Berg, Christian, Boyadzhiev, K. & Delaubenfels, R., 1993, In: J. Austral. Math. Soc. (Series A). 55, p. 246-269

    Research output: Contribution to journal › Journal article › Research › peer-review

  113. Published

    On the representability of harmonic funtions as Newtonian potentials

    Berg, Christian & Leutwiler, H., 1993, In: Expo. Math.. 11, p. 369-375

    Research output: Contribution to journal › Journal article › Research › peer-review

  114. Published

    Trekantens Nipunktscirkel

    Berg, Christian, 1993, Matematiske Ideer, en artikelsamling til større skriftlige opgaver. København: Matematiklærerforeningen, p. 26-35

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education

  115. Published

     L2-approximation with respect to rotation invariant measures

    Berg, Christian, 1993, In: Suppl. Rend. Circ. Mat. Palermo. 33, p. 211-217

    Research output: Contribution to journal › Journal article › Research › peer-review

  116. 1991
  117. Published

    A density index for the Stieltjes moment problem

    Berg, Christian & Thill, M., 1991, In: IMACS Annals on Computing and applied Math.. 9, p. 185-188

    Research output: Contribution to journal › Journal article › Research › peer-review

  118. Published

    Rotation invariant moment problems

    Berg, Christian & Thill, M., 1991, In: Acta Mathematica. 167, p. 207-227

    Research output: Contribution to journal › Journal article › Research › peer-review

  119. 1979
  120. Published

    A remark on the multidimensional moment problem

    Berg, Christian, Christensen, J. P. R. & Jensen, Chr Ulrik, 1979, In: Mathematische Annalen. 243, 2, p. 163-169 7 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

ID: 12150