English

A family of Horn-Bernstein functions

Classical Analysis and ODEs 2020-12-23 v2

Abstract

A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads to the definition of a class of Bernstein functions, which we propose to call Horn-Bernstein functions because of the results of Roger A. Horn.

Keywords

Cite

@article{arxiv.2008.06349,
  title  = {A family of Horn-Bernstein functions},
  author = {Christian Berg and Henrik L. Pedersen},
  journal= {arXiv preprint arXiv:2008.06349},
  year   = {2020}
}

Comments

14 pages references updated