期刊论文详细信息
Journal of inequalities and applications | |
Inequalities of extended beta and extended hypergeometric functions | |
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
【 预 览 】
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RO201902014180109ZK.pdf | 1551KB | download |