Higher order Thorin-Bernstein Functions

2023/11/09 by Pedersen, Henrik Laurberg, Koumandos, Stamatis · 1 citation
#44A10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.05238

Abstract

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.

Cited by

• Some two-parameter families of generalized Bernstein functions

Related

• Approximations of generalized Bernstein functions
• Some two-parameter families of generalized Bernstein functions
• On properties of Bernstein functions of several complex variables
• Some approximation results on higher order generalization of Bernstein type operators defined by (p,q)-integers
• (p,q)-Beta Functions and Applications in Approximation