Some two-parameter families of generalized Bernstein functions
Stamatis Koumandos, Henrik L. Pedersen
TL;DR
This paper investigates specific functions involving ratios of Gamma and Psi functions, establishing their membership in generalized Bernstein classes and revealing new properties of these functions.
Contribution
It introduces new classes of generalized Bernstein functions and provides novel properties related to functions involving Gamma and Psi ratios.
Findings
Functions involving ratios of Gamma and Psi functions belong to generalized Bernstein classes
New properties of generalized Bernstein functions are established
The work expands understanding of the structure of these special functions
Abstract
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.
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