Henrik L. Pedersen

activity

20062026

most citedA Pick function related to the sequence of volumes of the unit ball in n-space

5 citations · 7 across the 8 of their papers we have counts for

collaborators

14 papers

math.GM2026

Inequalities for ratios of Gamma functions

Henrik Laurberg Pedersen

We prove that the function $lo g \frac{Γ ( x + a + b ) Γ ( x )}{Γ ( x + a ) Γ ( x + b )} - b lo g (1 + \frac{a}{x})$ is a generalized Stieltjes function of order $3$ for $a > 0$ and $0 < b < 1$ . A si…

math.PR2026

On the entropy of the log-normal distribution

Christian Berg, Henrik Laurberg Pedersen

In a paper by Novi Inverardi and Tagliani from 2024 it is claimed that the log-normal density has maximal entropy in the class of densities having the same moments as the log-norma…

math.CA2021

Ratios of Entire functions and generalized Stieltjes functions

Dimitris Askitis, Henrik L. Pedersen

Monotonicity properties of the ratio $lo g \frac{f ( x + a _{1} ) \dots f ( x + a _{n} )}{f ( x + b _{1} ) \dots f ( x + b _{n} )},$ where $f$ is an entire function are investigated. Earlier results for Euler…

math.DS2021

Filled Julia sets of Chebyshev polynomials

Jacob Stordal Christiansen, Christian Henriksen, Henrik Laurberg Pedersen +1

We study the possible Hausdorff limits of the Julia sets and filled Julia sets of subsequences of the sequence of dual Chebyshev polynomials of a non-polar compact set K in C and c…

math.CA2020

A family of Horn-Bernstein functions

Christian Berg, Henrik L. Pedersen

A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads…

math.CA2019

Nielsen's beta function and some infinitely divisible distributions

Christian Berg, Stamatis Koumandos, Henrik L. Pedersen

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 completel…