Fractional Calculus and Certain Integral Transform of Extended $\tau$-Hypergeometric Function
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Keywords:
Extended $\tau$-Hypergeometric Function, Incomplete Pochhammer symbols, Incomplete Gamma function, Fractional derivative and integral operators, integral transformAbstract
In this paper, authors establish the some new integral and derivative formulas of generalized $\tau$-hypergeometric functions $_3\Gamma_2 ^{\tau} (z)$ defined by (R. K. Gupta {et al.} [3,4]). Furthermore by applying some integral transforms as Beta-transform, Verma transform, Whittaker transform, Laplace transform and $P_\alpha$-transform on the resulting formulas.
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.