Inequalities of extended (p,q)-beta and confluent hypergeometric function

2017/03/26 by Shahid Mubeen, Kottakkaran Sooppy Nisar, Mubeen, S. +5
Mathematics · #33B15 #33B99 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1703.08852

openalex publication_date 2017/03/26 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

Abstract

In this present paper, we establish the log-convexity and Turán type inequalities of extended (p,q)-beta functions. Also, we present the log-convexity, the monotonicity and Turán type inequalities for extended (p,q)-confluent hypergeometric function by using the inequalities of extended (p,q)-beta functions.

Related

• Inequalities of extended Beta and extended hypergeometric functions
• Extende beta, hypergeometric and confluent hypergeometric functions
• New inequalities for the confluent hypergeometric function
• Log-concavity and Turán-type inequalities for the generalized hypergeometric function
• Inequalities for some basic hypergeometric functions