Abstract
We obtain two fractional integral formulae involving a general class of polynomials and the multivariableH-function. On account of the most general nature of the polynomials and the multivaribleH-function involved herein, our findings provide interesting unifications and extensions of a number of (known and new) results. We have mentioned here only two such results.
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References
Konhauser J D E, Biorthogonal polynomials suggested by the Laguerre polynomials,Pacific J. Math. 21 (1967) 303–314
Ross B,Fractional calculus and its applications, Lecture notes in mathematics (New York: Springer Verlag) Vol. 457 (1975)
Srivastava H M, A contour integral involving Fox’sH-function,Indian J. Math. 14 (1972) 1–6
Srivastava H M, The Weyl fractional integral of a general class of polynomials,Boll. Un. Mat. Ital. B(6)2 (1983) 219–228
Srivastava H M and Garg M, Some integrals involving a general class of polynomials and the multivariableH-function,Rev. Roumaine Phys. 32 (1987) 685–692
Srivastava H M and Goyal S P, Fractional derivatives of theH-function of several variables,J. Math. Anal. Appl. 112 (1985) 641–651
Srivastava H M, Gupta K C and Goyal S P,The H-functions of one and two variables with applications (New Delhi: South Asian Publishers) (1982)
Srivastava H M and Panda R, Some bilateral generating functions for a class of generalized hypergeometric polynomials,J. Reine Angew. Math. 283–284 (1976) 265–274
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Gupta, K.C., Agrawal, S.M. Fractional integral formulae involving a general class of polynomials and the multivariableH-function. Proc. Indian Acad. Sci. (Math. Sci.) 99, 169–173 (1989). https://doi.org/10.1007/BF02837804
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DOI: https://doi.org/10.1007/BF02837804