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arXiv · 1611.08423

Inequalities of extended Beta and extended hypergeometric functions

Saiful R Mondal
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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.

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Saiful R Mondal. 2016-11-25. Inequalities of extended Beta and extended hypergeometric functions. https://arxiv.org/abs/1611.08423

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