Certain unified integrals associated with product of M-series and incomplete H-functions

Manish Kumar Bansal; Devendra Kumar; Ilyas Khan; Jagdev Singh; Kottakkaran Sooppy Nisar

doi:10.3390/MATH7121191

Certain unified integrals associated with product of M-series and incomplete H-functions

Manish Kumar Bansal
, Devendra Kumar
, Ilyas Khan
, Jagdev Singh
, Kottakkaran Sooppy Nisar

Mathematics

Government Engineering College
University of Rajasthan
Ton Duc Thang University
JECRC University

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

In this paper, we established some interesting integrals associated with the product of M-series and incomplete H-functions, which are expressed in terms of incomplete H-functions. Next, we give some special cases by specializing the parameters of M-series and incomplete H-functions (for example, Fox's H-Function, Incomplete FoxWright functions, FoxWright functions and Incomplete generalized hypergeometric functions) and also listed few known results. The results obtained in this work are general in nature and very useful in science, engineering and finance.

Original language	English
Article number	1191
Journal	Mathematics
Volume	7
Issue number	12
DOIs	https://doi.org/10.3390/MATH7121191
State	Published - 1 Dec 2019

Keywords

Gamma function
Improper integral
Incomplete H-functions
M-series

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10.3390/MATH7121191

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title = "Certain unified integrals associated with product of M-series and incomplete H-functions",

abstract = "In this paper, we established some interesting integrals associated with the product of M-series and incomplete H-functions, which are expressed in terms of incomplete H-functions. Next, we give some special cases by specializing the parameters of M-series and incomplete H-functions (for example, Fox's H-Function, Incomplete FoxWright functions, FoxWright functions and Incomplete generalized hypergeometric functions) and also listed few known results. The results obtained in this work are general in nature and very useful in science, engineering and finance.",

keywords = "Gamma function, Improper integral, Incomplete H-functions, M-series",

author = "Bansal, \{Manish Kumar\} and Devendra Kumar and Ilyas Khan and Jagdev Singh and Nisar, \{Kottakkaran Sooppy\}",

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doi = "10.3390/MATH7121191",

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T1 - Certain unified integrals associated with product of M-series and incomplete H-functions

AU - Bansal, Manish Kumar

AU - Kumar, Devendra

AU - Khan, Ilyas

AU - Singh, Jagdev

AU - Nisar, Kottakkaran Sooppy

PY - 2019/12/1

Y1 - 2019/12/1

N2 - In this paper, we established some interesting integrals associated with the product of M-series and incomplete H-functions, which are expressed in terms of incomplete H-functions. Next, we give some special cases by specializing the parameters of M-series and incomplete H-functions (for example, Fox's H-Function, Incomplete FoxWright functions, FoxWright functions and Incomplete generalized hypergeometric functions) and also listed few known results. The results obtained in this work are general in nature and very useful in science, engineering and finance.

AB - In this paper, we established some interesting integrals associated with the product of M-series and incomplete H-functions, which are expressed in terms of incomplete H-functions. Next, we give some special cases by specializing the parameters of M-series and incomplete H-functions (for example, Fox's H-Function, Incomplete FoxWright functions, FoxWright functions and Incomplete generalized hypergeometric functions) and also listed few known results. The results obtained in this work are general in nature and very useful in science, engineering and finance.

KW - Gamma function

KW - Improper integral

KW - Incomplete H-functions

KW - M-series

UR - https://www.scopus.com/pages/publications/85077890475

U2 - 10.3390/MATH7121191

DO - 10.3390/MATH7121191

M3 - Article

AN - SCOPUS:85077890475

SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 12

M1 - 1191

ER -

Certain unified integrals associated with product of M-series and incomplete H-functions

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Keywords

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