Inequalities of extended beta and extended hypergeometric functions

Journal of inequalities and applications

Saiful R. Mondal¹ 

关键词: extended beta functions;    extended hypergeometric functions;    log-convexity;    Turán-type inequalities;    33B15;    33B99;   

DOI  :  10.1186/s13660-016-1276-9

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY