Some Properties of Extended Hypergeometric Function and Its Transformations

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI:10.18311/JIMS/2018/20979

Aparna Chaturvedi, Prakriti Rai

引用次数: 0

Abstract

There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended Gauss hypergeometric function in one, two and more variables.

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扩展超几何函数及其变换的一些性质

出现了不同的扩展版本的Beta函数和包含额外参数的超几何函数。得到了扩展广义高斯超几何函数、包含变换公式的扩展合流超几何函数、广义广义高斯超几何函数在一变量、二变量和多变量下的Mellin变换等函数的一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.