Christian Berg

Christian Berg

Professor, emeritus

ORCID: 0000-0001-9440-0926

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  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. Published

    Riemanns Zetafunktion

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

    Research output: Contribution to journal › Journal article › Communication

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. 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

  35. Published

    Complex Analysis

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

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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

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