Integral transforms of the S-functions

Authors

  • Jitendra Daiya JAI NARAIN VYAS UNIVERSITY, JODHPUR
  • Ram Kishore Saxena

Keywords:

Euler transform, Laplace transform, Whittaker transform, fractional Fourier transform, generalized k-Mittag-Leffler function, generalized Wright function

Abstract

The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava and Tomovski [14] and M-series given by Sharma and Jain [13], various integral transform of this function such as Euler transform, Laplace transform, Whittaker transform, K-transform are derived. The results obtained are useful in applied problems of science, engineering and technology.

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Published

2015-11-10

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Section

Articoli