Christian Berg

Christian Berg

Professor, emeritus


  1. 2008
  2. 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 proceedingBook chapterResearch

  3. 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 journalJournal articleResearchpeer-review

  4. 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 journalJournal articleResearchpeer-review

  5. 2009
  6. Published

    Bounds on Turán determinants

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  7. 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 journalJournal articleCommunication

  8. 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 journalJournal articleResearchpeer-review

  9. 2010
  10. 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 journalJournal articleResearchpeer-review

  11. 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 journalJournal articleResearchpeer-review

  12. 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 journalLiterature reviewCommunication

  13. 2011
  14. 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 journalJournal articleResearchpeer-review

  15. 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 journalJournal articleResearchpeer-review

  16. 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 journalLiterature reviewCommunication

  17. Published

    Fibonacci numbers and orthogonal polynomials

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  18. 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 journalJournal articleResearchpeer-review

  19. Published

    The smallest eigenvalue of Hankel matrices

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  20. 2012
  21. 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 journalJournal articleResearchpeer-review

  22. 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 journalJournal articleResearchpeer-review

  23. 2013
  24. 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 journalJournal articleResearchpeer-review

  25. 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 journalJournal articleResearchpeer-review

  26. 2014
  27. 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 journalJournal articleResearchpeer-review

  28. 2015
  29. Published

    Open problems

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  30. 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 journalJournal articleResearchpeer-review

  31. 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 journalJournal articleResearchpeer-review

  32. 2017
  33. 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 journalJournal articleResearchpeer-review

  34. 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 journalJournal articleResearchpeer-review

ID: 12150