On the integral operators pertaining to a family of incomplete I-functions

被引：15

作者：

Bansal, Manish Kumar ^{[1
]}

Kumar, Devendra ^{[2
]}

机构：

[1] Govt Engn Coll, Dept Appl Sci, Banswara 327001, Rajasthan, India

[2] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 02期

关键词：

Gamma function; incomplete Gamma functions; incomplete I-functions; Mellin-Barnes type contour; integral transforms; GENERATING-FUNCTIONS; POCHHAMMER SYMBOLS;

D O I：

10.3934/math.2020085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces a new incomplete I-functions. The incomplete I-function is an extension of the I-function given by Saxena [1] which is a extension of a familiar Fox's H-function. Next, we find the several interesting classical integral transform of these functions and also find the some basic properties of incomplete I-function. Further, numerous special cases are obtained from our main results among which some are explicitly indicated. Incomplete special functions thus obtained consisting of probability theory has many potential applications which are also presented. Finally, we find the solution of non-homogeneous heat conduction equation in terms of Incomplete I-function.

引用

页码：1247 / 1259

页数：13

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