Inequalities of extended beta and extended hypergeometric functions

被引：0
|
作者：
Saiful R. Mondal
机构：
[1] King Faisal University,Department of Mathematics and Statistics, College of Science
来源：
Journal of Inequalities and Applications | / 2017卷
关键词：
extended beta functions; extended hypergeometric functions; log-convexity; Turán-type inequalities; 33B15; 33B99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-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 Turán-type inequalities for extended confluent and extended Gaussian hypergeometric functions. Some reverses of Turán-type inequalities are also derived.
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