Convexity and inequalities related to extended beta and confluent hypergeometric functions

Convexity and inequalities related to extended beta and confluent hypergeometric functions

In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended confluent hypergeometric function.

Bibliographic Details
Main Authors: Feng Qi, Kottakkaran Sooppy Nisar, Gauhar Rahman
Format: Article
Language:English
Published: AIMS Press 2019-09-01
Series:AIMS Mathematics
Subjects:
extended beta function
extended confluent hypergeometric function
inequality
logarithmic convexity
monotonicity
Online Access:https://www.aimspress.com/article/10.3934/math.2019.5.1499/fulltext.html
Description
Summary:In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended confluent hypergeometric function.
ISSN:2473-6988

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