福克斯-赖特函数某些子类序列的图兰截面的界限

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-11-17 DOI:10.1016/j.jmaa.2024.129055

Khaled Mehrez , Kamel Brahim

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引用次数: 0

摘要

在本文中，我们为与广义超几何函数（福克斯-赖特函数）相关的某类函数的截面建立了新的图兰式不等式。一些主要结果的主要数学工具是基于超几何函数截面的一些新积分表示和伽马函数商的一些单调性准则。

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Bounds for Turánians of sections for series of certain subclasses of the Fox-Wright functions

In this paper, we establish new Turán type inequalities for sections of some class of functions related to the generalized hypergeometric functions (Fox-Wright functions). The main mathematical tools of some of the main results are based on some new integral representations for the sections of hypergeometric functions and some monotonicity criterion of quotient of gamma function.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.