Fractional Derivative and Integral Formulas Involving By Generalized Hypergeometric Function
| Vol-4 | Issue-03 | March 2019 | Published Online: 13 March 2019 PDF ( 283 KB ) | ||
| Author(s) | ||
| Daljeet Kaur 1; Madhuchanda Rakshit 2; Mehar Chand 3 | ||
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1Research Scholar, Guru Kashi University, Talwandi Sabo, Bathinda, Punjab (India) 2Assistant Professor, Applied Science Department, Guru Kashi University, Talwandi Sabo, Bathinda, Punjab (India) 3Department of Mathematics, Baba Farid College, Bathinda (India) |
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| Abstract | ||
In this paper, some new formulae are established by employing the Riemann-Liouville fractional derivative and integral operators involving new extended Gauss hypegeometric function and Confluent hypergeometric function. Further using the integral transforms of the new finding of this paper, new image formulae are developed. The results obtained here are quite general in nature and capable of yielding a very large number of known and presumably new results. |
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| Keywords | ||
| Pochhemmer symbol, Fractional Calculus, Fractional Derivative, Fractional Integration, Beta Transform, Laplace Transform, Whittaker Transform | ||
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