Some two-parameter families of generalized Bernstein functions | Synapse
October 20, 2025Open Access
Some two-parameter families of generalized Bernstein functions
Key Points
Certain functions involving ratios of Gamma functions are proven to belong to generalized Bernstein classes.
New properties of generalized Bernstein functions are established in this analysis.
The study focuses on two-parameter families of generalized Bernstein functions.
The findings may contribute to the broader understanding of function classes in mathematical analysis.
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.