Christian Berg
Professor, emeritus
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
- 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. 121–154Research output: Contribution to journal › Journal article › Research › peer-review
- Published
A Family of Horn-Bernstein Functions
Berg, Christian & Pedersen, Henrik Laurberg, 2023, In: Experimental Mathematics. 32, 3, p. 505-513Research output: Contribution to journal › Journal article › Research › peer-review
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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
- 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
- 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. 219-230Research output: Contribution to journal › Journal article › Research › peer-review
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A completely monotonic function used in an inequality of Alzer
Berg, Christian & Pedersen, Henrik Laurberg, 2012, In: Computational Methods and Function Theory. 12, p. 329-341Research output: Contribution to journal › Journal article › Research › peer-review
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A density index for the Stieltjes moment problem
Berg, Christian & Thill, M., 1991, In: IMACS Annals on Computing and applied Math.. 9, p. 185-188Research output: Contribution to journal › Journal article › Research › peer-review
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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. 1568-1576Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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. 1449-1464Research output: Contribution to journal › Journal article › Research › peer-review
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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
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A transformation from Hausdorff to Stieltjes moment sequences
Berg, Christian & Duran, A. J., 2004, In: Arkiv for Matematik. 42, p. 239-257Research output: Contribution to journal › Journal article › Research › peer-review
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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
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Asymptotic behaviour of the Urbanik semigroup
Berg, Christian & Luis Lopez, J., Jul 2015, In: Journal of Approximation Theory. 195, p. 109-121Research output: Contribution to journal › Journal article › Research › peer-review
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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. 1029-1034Research output: Contribution to journal › Literature review › Communication
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Bounds on Turán determinants
Berg, Christian & Szwarc, R., 2009, In: Journal of Approximation Theory. 161, p. 127-141Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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
- 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. 1685–1696Research output: Contribution to journal › Journal article › Research › peer-review
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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
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Complex Analysis
Berg, Christian, 2007, 1. ed. Universitetsparken 5, 2100 København Ø: Universitetsbogladen. 190 p.Research output: Book/Report › Compendium/lecture notes › Education
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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
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Correction to a paper by A.G. Pakes
Berg, Christian, 2004, In: Journal of the Australian Mathematical Society. 76, p. 67-73Research output: Contribution to journal › Journal article › Research › peer-review
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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. 147-150Research output: Contribution to journal › Journal article › Research › peer-review
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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
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Fibonacci numbers and orthogonal polynomials
Berg, Christian, 2011, In: Arab Journal of Mathematical Sciences. 17, 2, p. 75-88Research output: Contribution to journal › Journal article › Research › peer-review
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Fibonacci numbers, Euler’s 2-periodic continued fractions and moment sequences
Berg, Christian & Durán, A. J., 2011, In: Fibonacci Quarterly. 49, p. 66-75Research output: Contribution to journal › Journal article › Research › peer-review
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From Schoenberg Coefficients to Schoenberg Functions
Berg, Christian & Porcu, E., Apr 2017, In: Constructive Approximation. 45, 2, p. 217-241Research output: Contribution to journal › Journal article › Research › peer-review
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From discrete to absolutely continuous solutions of indeterminate moment problems
Berg, Christian, 1998, In: Arab J.Math.Sc.. 4, 2, p. 1-18Research output: Contribution to journal › Journal article › Research › peer-review
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Generalized q-Hermite Polynomials
Berg, Christian & Ruffing, A., 2001, In: Communications in Mathematical Physics. 223, 1, p. 29-46Research output: Contribution to journal › Journal article › Research › peer-review
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Generation of generators of holomorphic semigroups
Berg, Christian, Boyadzhiev, K. & Delaubenfels, R., 1993, In: J. Austral. Math. Soc. (Series A). 55, p. 246-269Research output: Contribution to journal › Journal article › Research › peer-review
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Indeterminate moment problems and the theory of entire functions
Berg, Christian, 1996, In: J. Comput. Appl. Math.. 65, p. 27-55Research output: Contribution to journal › Journal article › Research › peer-review
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Integral representation of some functions related to the gamma function
Berg, Christian, 2004, In: Mediterranean Journal of Mathematics. 1, p. 433-439Research output: Contribution to journal › Journal article › Research › peer-review
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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
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Iteration of the rational function z-1/z and a Hausdorff moment sequence
Berg, Christian & Durán, A. J., 2008, In: Expositiones Mathematicae. 26, p. 375-385Research output: Contribution to journal › Journal article › Research › peer-review
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Kompleks Funktionsteori
Berg, Christian, 2002, Kompleks Funktionsteori. København: Universitetsbogladen, p. 156Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education
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Kompleks Funktionsteori
Berg, Christian, 2001, København Ø: Universitetsbogladen. 144 p.Research output: Book/Report › Book › Education
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Linearization coefficients of Bessel polynomials and properties of Student-t distributions
Berg, Christian & Vignat, C., 2008, In: Constructive Approximation. 27, p. 15-32Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 51-79Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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Markov's Theorem Revisited
Berg, Christian, 1994, In: J. Approximation Theory. 78, p. 260-275Research output: Contribution to journal › Journal article › Research › peer-review
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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. 523-530Research output: Contribution to journal › Journal article › Research › peer-review
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Nevanlinna Matrices of Entire Functions
Berg, Christian & Pedersen, H. L., 1995, In: Math. Nachr.. 171, p. 29-52Research output: Contribution to journal › Journal article › Research › peer-review
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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. 89-91Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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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. 29-43Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Nielsen's beta function and some infinitely divisible distributions
Berg, Christian, Koumandos, S. & Pedersen, Henrik Laurberg, 2021, In: Mathematische Nachrichten. 294, 3, p. 426-449Research output: Contribution to journal › Journal article › Research › peer-review
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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. 31-41Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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On a Family of Functions Studied by Bhatia and Jain
Berg, Christian, 2017, In: Experimental Mathematics. 26, 2, p. 241-246Research output: Contribution to journal › Journal article › Research › peer-review
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On a conjecture of Clark and Ismail
Berg, Christian, Alzer, H. & Koumandos, S., 2005, In: Journal of Approximation Theory. 134, p. 102-113Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 251-257Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 762-776Research output: Contribution to journal › Journal article › Research › peer-review
ID: 12150
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Nielsen's beta function and some infinitely divisible distributions
Research output: Contribution to journal › Journal article › Research › peer-review
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31
downloads
A Family of Entire Functions Connecting the Bessel Function J1 and the Lambert W Function
Research output: Contribution to journal › Journal article › Research › peer-review
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A Unified View of Space–Time Covariance Functions Through Gelfand Pairs
Research output: Contribution to journal › Journal article › Research › peer-review
Published