An Integral Involving Extended Jacobi Polynomial
Multivariable H-function, H-function in series form, Jacobi polynomial, Lauricella function, Fox H-function
Abstract
An attempt has been made to establish an integral concerning the product of two H-function of several complex variables (Srivastava and Panda [8] with extended Jacobi polynomial [5]). Mainly we are using the series representation of H-function given by Olkha and Chaurasia [6,7]. By assigning suitable values to the parameters, the results can be reduced to many new, known and unknown results.
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References
V Chaurasia (1976) On generalized Lauricella functions, Mathematica -Revue D'analyse Numérique et de theorie de L'approximation. 18(41), 125-130.
V Chaurasia, Ashok Shekhawat (1984) An integral involving general polynomials and the $H$-function of several complex variables. 36(3), 255-260.
S Chiney, B Bhonsle (1975) Some results involving Jacobi polynomials. 25(1), 7-11.
C Fox (1961) The G and H-functions as symmetrical Fourier kernels. 98, 395-429.
I Fujiwara (1966) A unified presentation of classical orthogonal polynomials. 11, 133-148.
G Olkha, V Chaurasia (1982) Some integral transform involving the H-function of several complex variables. 22, 309-315.
G Olkha, V Chaurasia (1985) An Exponential Fourier Series for I-Function of Several Complex Variables. 5(2), 251-253.
H Srivastava, R Panda (1976) Expansion theorems for the H function of several complex variables.. 1976(288), 129-145.
H Srivastava, R Panda (1976) Some bilateral generating functions for a class of generalized hypergeometric polynomials. 283(284), 265-274.
H Srivastava, M Daoust (1972) A note on convergence of Kampé de Fériets double hypergeometric series. 53, 151-159.
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2012-05-14
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