- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 Jangid, Sunil Joshi, Sunil Dutt Prohit, Dineshlal Suthar
Pages : 193-202
Doi:10.31197/atnaa.755309
View : 5 | Download : 2
Publication Date : 2021-06-30
Article Type : Research
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