English

Bernoulli inequality and hypergeometric functions

Classical Analysis and ODEs 2016-05-30 v2 Complex Variables

Abstract

Bernoulli type inequalities for functions of logarithmic type are given. These functions include, in particular, Gaussian hypergeometric functions in the zero-balanced case F(a,b;a+b;x).F(a,b;a+b;x)\,.

Keywords

Cite

@article{arxiv.1106.1768,
  title  = {Bernoulli inequality and hypergeometric functions},
  author = {Riku Klén and Vesna Manojlović and Slavko Simić and Matti Vuorinen},
  journal= {arXiv preprint arXiv:1106.1768},
  year   = {2016}
}

Comments

15 pages

R2 v1 2026-06-21T18:19:53.754Z