Department of Mathematical Sciences

 

 
  1. Published

    Kompleks Funktionsteori

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

    Research output: Chapter in Book/Report/Conference proceedingBook chapterEducation

  2. 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 journalJournal articleResearchpeer-review

  3. 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 journalJournal articleResearchpeer-review

  4. Published

    Determinacy versus indeterminacy

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

    Research output: Contribution to journalJournal articleCommunication

  5. 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 journalJournal articleResearchpeer-review

  6. 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 journalJournal articleResearchpeer-review

  7. Published

    Markov's Theorem Revisited

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  8. 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 journalJournal articleResearchpeer-review

  9. 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 journalJournal articleResearchpeer-review

  10. 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

  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 journalJournal articleResearchpeer-review

  12. 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

  13. 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

  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

    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

  16. 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

  17. 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/ReportAnthologyResearchpeer-review

  18. 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 journalJournal articleResearchpeer-review

  19. 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 journalJournal articleResearchpeer-review

  20. 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 journalJournal articleResearchpeer-review

  21. 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 journalJournal articleResearchpeer-review

  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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-review

  24. 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 journalJournal articleResearchpeer-review

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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 journalJournal articleResearchpeer-review

  30. 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 journalJournal articleResearchpeer-review

  31. 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 proceedingBook chapterEducation

  32. 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 journalJournal articleResearchpeer-review

  33. 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 journalJournal articleResearchpeer-review

  34. 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 journalJournal articleResearchpeer-review

  35. Published

    Generalized q-Hermite Polynomials

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  36. 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 journalJournal articleResearchpeer-review

  37. 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/ReportAnthologyResearchpeer-review

  38. Published

    On powers on Stieltjes moment sequences, I

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  39. 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 journalJournal articleResearchpeer-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 journalLiterature reviewCommunication

  41. 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 proceedingArticle in proceedingsResearchpeer-review

  42. Published

    Kompleks Funktionsteori

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

    Research output: Book/ReportBookEducation

  43. 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 journalJournal articleResearchpeer-review

  44. 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 journalJournal articleResearchpeer-review

  45. 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 journalJournal articleResearchpeer-review

  46. 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 journalJournal articleResearchpeer-review

  47. Published

    Open problems

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  48. 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

  49. 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

  50. 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 journalJournal articleResearchpeer-review

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