A unified inverse Laplace transform formula involving the product of a general class of polynomials and the Fox $H$-function

Authors

  • R. C. Soni
  • Deepika Singh

DOI:

https://doi.org/10.5556/j.tkjm.36.2005.120

Abstract

In the present paper we obtain the inverse Laplace transform of the product of a general class of polynomials and the Fox $H$-function. The polynomials and the functions involved in our main formula as well as their arguments are quite general in nature. Therefore, the inverse Laplace transform of the product of a large variety of polynomials and numerous simple special functions can be obtained as simple special cases of our main result. The results obtained by Gupta and Soni [2] and Srivastava [5] follow as special cases of our main result.

Author Biographies

R. C. Soni

Department of Mathematics, M. N. Institute of Technology, Jaipur 302017, India.

Deepika Singh

Department of Mathematics, M. N. Institute of Technology, Jaipur 302017, India.

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Published

2005-06-30

How to Cite

Soni, R. C., & Singh, D. (2005). A unified inverse Laplace transform formula involving the product of a general class of polynomials and the Fox $H$-function. Tamkang Journal of Mathematics, 36(2), 87–92. https://doi.org/10.5556/j.tkjm.36.2005.120

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Section

Papers