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On some refinements for inequalities involving zero-balanced hypergeometric function

Tie‐Hong Zhao, Zai-Yin He, Yu‐Ming Chu

2020AIMS Mathematics207 citationsDOIOpen Access PDF

Abstract

In the article, we present an elegant double inequality for the ratio of the zero-balanced hypergeometric functions, which improve and refine some previously known results and also give a positive answer the question by proposed by Ismail.

Topics & Concepts

Zero (linguistics)MathematicsHypergeometric functionGeneralized hypergeometric functionPure mathematicsInequalityConfluent hypergeometric functionFunction (biology)Hypergeometric distributionHypergeometric function of a matrix argumentAlgebra over a fieldMathematical analysisPhilosophyLinguisticsBiologyEvolutionary biologyMathematical Inequalities and ApplicationsAnalytic and geometric function theoryDifferential Equations and Boundary Problems