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Inequalities of extended beta and extended hypergeometric functions
Journal article   Open access  Peer reviewed

Inequalities of extended beta and extended hypergeometric functions

Saiful R. Mondal
Journal of inequalities and applications, Vol.2017(1), pp.10-10
01/01/2017
PMCID: PMC5216165
PMID: 28111508

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the log-convexity of the extended beta functions. As a consequence, we establish Turan-type inequalities. 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 give the Turan-type inequalities for extended confluent and extended Gaussian hypergeometric functions. Some reverses of Turan-type inequalities are also derived.
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https://doi.org/10.1186/s13660-016-1276-9View
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