Certain Unified Integrals Associated with Product of M-Series and Incomplete H -functions

Manish Kumar Bansal, Devendra Kumar, Ilyas Khan, Jagdev Singh and Kottakkaran Sooppy Nisar
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Manish Kumar Bansal: Department of Applied Sciences, Government Engineering College, Banswara 327001, Rajasthan, India
Devendra Kumar: Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India
Ilyas Khan: Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
Jagdev Singh: Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India
Kottakkaran Sooppy Nisar: Department of Mathematics, Faculty of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Al-dawasir 11991, Saudi Arabia

Mathematics, 2019, vol. 7, issue 12, 1-11

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 Fox Wright functions, Fox Wright 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: M-series; incomplete H -functions; gamma function; improper integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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