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

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

Kaynakça

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