Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions

UDC 517.588, 517.54 We investigate the convexity and monotonicity properties for two classes of analytic functions related to the Le~Roy-type hypergeometric function. Numerical examples and graphical illustrations support our theoretical findings and motivate a proposed conjecture.

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Bibliographic Details
Date:2026
Main Authors: Mehrez, Khaled, Alenazi, Abdelaziz
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9392
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal