A Note on Application of Fractional Integral Operators on Bessel Functions of First Kind
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Abstract
Two integral transforms involving Gaussian hypergeometric functions in the Kernel, which are generalization of classical Riemann-Liouville and Erdeyi-Kober fractional integral are considered and Applied on the Bessel functions of the first kind and thus two main results are derived, which are given in the form of two theorems. These two main results are obtained in terms of generalized Wright functions. The main results are also expressed in terms of generalized hypergeometric functions. Corollaries of our main theorems are discussed. Special cases of our main results are also considered.
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