Henrik Laurberg Pedersen
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Henrik Laurberg Pedersen has a total of 27 co-authors. Here are the top co-authors by number of shared publications:
- Stamatis Koumandos
Department of Mathematics and Statistics, The University of Cyprus, Nicosia, Cyprus
15 shared publications - Christian Berg
Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark
6 shared publications - Carsten Lunde Petersen
Department of Science and Environment Roskilde University
3 shared publications - Christian Henriksen
Technical University of Denmark
3 shared publications - Jacob Stordal Christiansen
Lund University
3 shared publications Christian Berg
University of Copenhagen, Department of Mathematical Sciences, Copenhagen, Denmark
2 shared publications
Latest Publications
- Open Access
- 14 February 2026
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 209 (4) , 689-703
Some two-parameter families of generalized Bernstein functions
We prove that certain functions involving ratios of Gamma functions and the Psi-function belong to generalized Bernstein classes and new properties of generalized Bernstein functions are given.
- 14 February 2026
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 209 (4) , 689-703
Open AccessSome two-parameter families of generalized Bernstein functions
We prove that certain functions involving ratios of Gamma functions and the Psi-function belong to generalized Bernstein classes and new properties of generalized Bernstein functions are given.
- Open Access
Some two-parameter families of generalized Bernstein functions
We prove that certain functions involving ratios of Gamma functions and the Psi-function belong to generalized Bernstein classes and new properties of generalized Bernstein functions are given.
Open AccessSome two-parameter families of generalized Bernstein functions
We prove that certain functions involving ratios of Gamma functions and the Psi-function belong to generalized Bernstein classes and new properties of generalized Bernstein functions are given.
- 24 February 2025
- Published by Springer Nature in Analysis Mathematica
- Vol. 51 (1) , 63-73
Inequalities for $1/(1-\cos(x) )$ and its derivatives- 24 February 2025
- Published by Springer Nature in Analysis Mathematica
- Vol. 51 (1) , 63-73
Inequalities for $1/(1-\cos(x) )$ and its derivatives- Open Access
Approximations of generalized Bernstein functions
We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely $x^λΓ(x)/Γ(x+λ)$ are derived.Open AccessApproximations of generalized Bernstein functions
We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely $x^λΓ(x)/Γ(x+λ)$ are derived. - Open Access
- 11 November 2023
- Published by Springer Nature in Results in Mathematics
- Vol. 79 (1) , 1-22
Higher Order Thorin–Bernstein Functions
We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.
- 11 November 2023
- Published by Springer Nature in Results in Mathematics
- Vol. 79 (1) , 1-22
Open AccessHigher Order Thorin–Bernstein Functions
We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.
- Open Access
Higher order Thorin-Bernstein Functions
We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin-Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.
Open AccessHigher order Thorin-Bernstein Functions
We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin-Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.
- 15 October 2021
- Published by Taylor & Francis in Experimental Mathematics
- Vol. 32 (3) , 505-513
A Family of Horn-Bernstein Functions
A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads to the definition of a class of Bernstein functions, which we propose to call Horn-Bernstein functions because of the results of Roger A. Horn.
- 15 October 2021
- Published by Taylor & Francis in Experimental Mathematics
- Vol. 32 (3) , 505-513
A Family of Horn-Bernstein Functions
A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads to the definition of a class of Bernstein functions, which we propose to call Horn-Bernstein functions because of the results of Roger A. Horn.
- 12 August 2021
- Published by Springer Nature in Computational Methods and Function Theory
- Vol. 22 (3) , 1-19
Ratios of Entire Functions and Generalized Stieltjes Functions
- 12 August 2021
- Published by Springer Nature in Computational Methods and Function Theory
- Vol. 22 (3) , 1-19
Ratios of Entire Functions and Generalized Stieltjes Functions
- 19 June 2021
- Published by Springer Nature in The Journal of Geometric Analysis
- Vol. 31 (12) , 12250-12263
Filled Julia Sets of Chebyshev Polynomials
- 19 June 2021
- Published by Springer Nature in The Journal of Geometric Analysis
- Vol. 31 (12) , 12250-12263
Filled Julia Sets of Chebyshev Polynomials
- 28 December 2020
- Published by Wiley in Mathematische Nachrichten
- Vol. 294 (3) , 426-449
Nielsen's beta function and some infinitely divisible distributions
We show that a large collection of special functions, in particular Nielsen's beta function, are generalized Stieltjes functions of order 2, and therefore logarithmically completely monotonic. This includes the Laplace transform of functions of the form , where f is itself the Laplace transform of a sum of dilations and translations of periodic functions. Our methods are also applied to ratios of Gamma functions, and to the remainders in asymptotic expansions of the double Gamma function of Barnes.
- 28 December 2020
- Published by Wiley in Mathematische Nachrichten
- Vol. 294 (3) , 426-449
Nielsen's beta function and some infinitely divisible distributions
We show that a large collection of special functions, in particular Nielsen's beta function, are generalized Stieltjes functions of order 2, and therefore logarithmically completely monotonic. This includes the Laplace transform of functions of the form , where f is itself the Laplace transform of a sum of dilations and translations of periodic functions. Our methods are also applied to ratios of Gamma functions, and to the remainders in asymptotic expansions of the double Gamma function of Barnes.