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Recently many authors have investigated so-called Aleph $(\aleph)$-function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph $(\aleph)$-function. Precisely, integrals with product of Aleph $(\aleph)$-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.
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참고문헌 (15)
참고문헌 신청
2A. Erd´elyi / 1953 / Higher Transcendental Functions. Vol. I, II / McGraw-Hill
A. A. Kilbas / 2006 / Theory and Applications of Fractional Differential Equations, North-Holland Mathematical Studies, Vol. 204 / Elsevier (North-Holland) Science Publishers
A. M. Mathai / 1978 / The H-function with Applications in Statistics and Other Disciplines / Halsted Press (John Wiley & Sons)
A. M. Mathai / 2010 / The H-Function: Theory and Appli-cations / Springer
E. D. Rainville / 1960 / Special Function / The Macmillan Company
A. A. Kilbas / 2006 / Theory and Applications of Fractional Differential Equations, North-Holland Mathematical Studies, Vol. 204 / Elsevier (North-Holland) Science Publishers
A. M. Mathai / 1978 / The H-function with Applications in Statistics and Other Disciplines / Halsted Press (John Wiley & Sons)
A. M. Mathai / 2010 / The H-Function: Theory and Appli-cations / Springer
E. D. Rainville / 1960 / Special Function / The Macmillan Company
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