Some new results for the Srivastava-Luo-Raina $\mathbb{M}$-transform pertaining to the incomplete <em>H</em>-functions

M. K. Bansal; D. Kumar; J. Singh; A. Tassaddiq; K. S. Nisar; M. K. Bansal; D. Kumar; J. Singh; A. Tassaddiq; K. S. Nisar

doi:10.3934/math.2020048

AIMS Mathematics

2020, Volume 5, Issue 1: 717-722. doi: 10.3934/math.2020048

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Some new results for the Srivastava-Luo-Raina $\mathbb{M}$-transform pertaining to the incomplete H-functions

1.
Department of Applied Sciences, Government Engineering College, Banswara-327001, Rajasthan, India
2.
Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India
3.
Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
4.
College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia
5.
Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia

Received: 23 October 2019 Accepted: 16 December 2019 Published: 20 December 2019
MSC : 26A33, 33B20, 33C60, 33E20, 44A40

The image formula of the incomplete H-functions is derived in this paper by using the Srivastava-Luo-Raina $\mathbb{M}$-Transform. Also, we obtained the image formulae of some useful and important cases of incomplete H-function. The results derived in this paper are in general form and several known and new results can be obtained by giving particular values to the parameters involved in the main results.
Citation: M. K. Bansal, D. Kumar, J. Singh, A. Tassaddiq, K. S. Nisar. Some new results for the Srivastava-Luo-Raina $\mathbb{M}$-transform pertaining to the incomplete H-functions[J]. AIMS Mathematics, 2020, 5(1): 717-722. doi: 10.3934/math.2020048

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Abstract

The image formula of the incomplete H-functions is derived in this paper by using the Srivastava-Luo-Raina $\mathbb{M}$-Transform. Also, we obtained the image formulae of some useful and important cases of incomplete H-function. The results derived in this paper are in general form and several known and new results can be obtained by giving particular values to the parameters involved in the main results.

References

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