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Monotonicity patterns and functional inequalities for classical and\n generalized Wright functions

2017/07/24 by Khaled Mehrez, Mehrez, Khaled
Mathematics · #26D07 #33C20 #33E12 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1708.00461

openalex publication_date 2017/07/24 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper our aim is to present the completely monotonicity and convexity\nproperties for the Wright function. As consequences of these results, we\npresent some functional inequalities. Moreover, we derive the monotonicity and\nlog-convexity results for the generalized Wright functions. As applications, we\npresent several new inequalities (like Tur 'an type inequalities) and we prove\nsome geometric properties for four--parametric Mittag--Leffler functions.\n

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