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We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized $\mathtt{k}$-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.
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참고문헌 (16)
참고문헌 신청
P. Agarwal / 2016 / Certain fractional kinetic equations involving the product of generalized k-Bessel function / Alexandria Engrg. J. 55(4):3053~3059
R. A. Cerutti / 2012 / On the k-Bessel functions / Int. Math. Forum 7(37-40):1851~1857
M. Chand / 2017 / Fractional integrals and solution of fractional kinetic equations involving k-Mittag-Leffer function / Trans. A. Razmadze Math. Inst. 171(2):144~166
R. Diaz / 2007 / On hypergeometric functions and Pochhammer k-symbol / Divulg. Mat. 15(2):179~192
I. S. Gradshteyn / 2000 / Table of Integrals, Series, and Products / Academic Press
R. A. Cerutti / 2012 / On the k-Bessel functions / Int. Math. Forum 7(37-40):1851~1857
M. Chand / 2017 / Fractional integrals and solution of fractional kinetic equations involving k-Mittag-Leffer function / Trans. A. Razmadze Math. Inst. 171(2):144~166
R. Diaz / 2007 / On hypergeometric functions and Pochhammer k-symbol / Divulg. Mat. 15(2):179~192
I. S. Gradshteyn / 2000 / Table of Integrals, Series, and Products / Academic Press
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