Exton双超几何X函数的泛函界

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-18

Dragana Jankov Maširević, T. Pogány

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引用次数: 0

摘要

．作为辅助结果，得到了Exton广义超几何X函数的泛函界和一致界，以及相应的不完全Lipschitz-Hankel积分。用另一种求导方法给出了Srivastava-Daoust广义三变量超几何函数的副产物。主要工具是最近在[3,5]中建立的McKay I ν Bessel概率分布的累积分布函数的某些表示公式。

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Functional bounds for Exton's double hypergeometric X function

. Functional and uniform bounds for Exton’s generalized hypergeometric X function of two variables and an associated incomplete Lipschitz–Hankel integral, as an auxiliary result, are obtained. A by-product for the Srivastava-Daoust generalized hypergeometric function of three variables is given by another derivation method. The main tools are certain representation formulae for the McKay I ν Bessel probability distribution’s cumulative distribution function established recently in [3,5].

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.