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

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:2
Fractional derivatives and expansion formulae of incomplete $H$ and $\overline{H}$-functions

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

Authors : Nirmal JANGİD, Sunil JOSHİ, Sunil Dutt PROHİT, Dineshlal SUTHAR

Pages : 193-202

Doi:10.31197/atnaa.755309

View : 12 | Download : 6

Publication Date : 2021-06-30

Article Type : Research Paper

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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