Bernoulli inequality and hypergeometric functions
: Riku Klén, Vesna Manojlović, Slavko Simić, Matti Vuorinen
Publisher: AMER MATHEMATICAL SOC
: 2014
: Proceedings of the American Mathematical Society
: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
: P AM MATH SOC
: 142
: 2
: 559
: 573
: 15
: 0002-9939
DOI: https://doi.org/10.1090/S0002-9939-2013-11781-8
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).