A1 Refereed original research article in a scientific journal

Bernoulli inequality and hypergeometric functions




AuthorsRiku Klén, Vesna Manojlović, Slavko Simić, Matti Vuorinen

PublisherAMER MATHEMATICAL SOC

Publication year2014

JournalProceedings of the American Mathematical Society

Journal name in sourcePROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Journal acronymP AM MATH SOC

Volume142

Issue2

First page 559

Last page573

Number of pages15

ISSN0002-9939

DOIhttps://doi.org/10.1090/S0002-9939-2013-11781-8


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).



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