Fractional derivatives and expansion formulae of incomplete $H$ and $\overline{H}$-functions

Year 2021, Volume: 5 Issue: 2, 193 - 202, 30.06.2021

Nirmal Jangid Sunil Joshi Sunil Dutt Prohit Dineshlal Suthar

https://doi.org/10.31197/atnaa.755309

Cited By: 1

Abstract

In this paper, we investigate the fractional derivatives and expansion formulae of incomplete $H$ and $\overline{H}$-functions for one variable. Further, we also obtain results for repeated fractional order derivatives and some special cases are also discussed. Various other analogues results are also established. The results obtained here are very much helpful for the further research and useful in the study of applied problems of sciences, engineering and technology.

Keywords

Fractional calculus operators, Incomplete Gamma functions, Incomplete $H$-functions, Mellin-Barnes type contour

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