Fractional derivatives and expansion formulae of incomplete H and H-functions

Open Access

Original research article

Author(s):

Nirmal Kumar Jangid^a, Sunil Joshi^a, Sunil Dutt Purohit^b, Daya Lal Suthar^c

^aDepartment of Mathematics & Statistics, Manipal University Jaipur, Jaipur, India.
^bDepartment of HEAS (Mathematics), Rajasthan Technical University, Kota, India.
^cDepartment of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia.

Advances in the Theory of Nonlinear Analysis and its Applications 5(2), 193–202.

Received: June 20, 2020

Accepted: February 21, 2021

Published: February 24, 2021

Abstract

In this paper, we investigate the fractional derivatives and expansion formulae of incomplete H and¯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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APA Style

Jangid, N., Joshi, S., Prohit, S. D., & Suthar, D. (2023). Fractional derivatives and expansion formulae of incomplete $H$ and $\bar{H}$ -functions. Advances in the Theory of Nonlinear Analysis and Its Application, 5(2), 193–202.