52 citations · 236 across the 34 of their papers we have counts for
39 papers
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…
Indeterminate Jacobi operators
Christian Berg, Ryszard Szwarc
We consider the Jacobi operator (T,D(T)) associated with an indeterminate Hamburger moment problem, i.e., the operator in defined as the closure of the Jacobi matrix actin…
Self-adjoint operators associated with Hankel moment matrices
Christian Berg, Ryszard Szwarc
In a paper from 2016 D. R. Yafaev initiated a study of closable Hankel forms associated with the moments of a positive measure with infinite support on the real line. If $m…
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…
Completely monotonic ratios of basic and ordinary gamma functions
Christian Berg, Asena Cetinkaya, Dmitrii Karp
We investigate conditions for logarithmic complete monotonicity of product ratios of gamma and q-gamma functions whose arguments are linear functions of the variable. We give neces…
A unified view of space-time covariance functions through Gelfand pairs
Christian Berg
We give a characterization of positive definite integrable functions on a product of two Gelfand pairs as an integral of positive definite functions on one of the Gelfand pairs wit…