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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Manish Kumar Bansal & Devendra Kumar & Ilyas Khan & Jagdev Singh & Kottakkaran Sooppy Nisar, 2019. "Certain Unified Integrals Associated with Product of M-Series and Incomplete H -functions," Mathematics, MDPI, vol. 7(12), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1191-:d:294390
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