English

Higher order Thorin-Bernstein Functions

Classical Analysis and ODEs 2023-11-10 v1

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.

Keywords

Cite

@article{arxiv.2311.05238,
  title  = {Higher order Thorin-Bernstein Functions},
  author = {Henrik Laurberg Pedersen and Stamatis Koumandos},
  journal= {arXiv preprint arXiv:2311.05238},
  year   = {2023}
}

Comments

25 pages

R2 v1 2026-06-28T13:15:57.433Z