Inequalities of extended Beta and extended hypergeometric functions
Classical Analysis and ODEs
2016-11-28 v1
Abstract
This paper studies the log-convexity of the extended beta functions. As a consequence, Tur\'an-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,. The particular cases of those results also gives the Tur\'an-type inequalities for extended confluent and extended Gaussian hypergeometric functions. Some reverse of Tur\'an-type inequalities also derived.
Keywords
Cite
@article{arxiv.1611.08423,
title = {Inequalities of extended Beta and extended hypergeometric functions},
author = {Saiful R Mondal},
journal= {arXiv preprint arXiv:1611.08423},
year = {2016}
}