title: Inequalities of extended beta and extended hypergeometric functions.
abstract: 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.
authors.affiliation: Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa, Hofuf, 31982 Saudi Arabia.
authors.forename: Saiful R
authors.initials: SR
authors.lastname: Mondal
keywords: Turán-type inequalities; extended beta functions; extended hypergeometric functions; log-convexity