Generating relations involving hypergeometric functions by means of integral operators

• Autorzy: Pathan M. , Khan S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the focus is on the results which involve exponential functions. The results of Pathan and Yasmeen [6] and Exton [3] are used with a view to obtaining generating functions which are partly unilateral and partly bilateral.

Słowa kluczowe

EN

generating relation; hypergeometric function; integral operator

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 1
• Strony: 35--39
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Pathan M.

• Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

autor

Khan S.

• Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Bibliografia

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• [3] H. Exton, A new generating function for the associated Laguerre polynomials and resulting expansions, Jnanabha 13 (1983), 147-149.
• [4] H. L. Krall and O. Frink, A new class of orthogonal polynomials: The Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949), 100-115.
• [5] V. I. Krylov, N. S. Skoblya, A handbook of methods of approximate Fourier transformation and inversion of the Laplace transformation, Mir Publishers, Moscow, 1977.
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• [7] M. A. Pathan, Yasmeen, New generating functions for a triple hypergeometric series, Simon Stevien, A. Quart. J. Pure and Appl. Math. 61 (1987), 171-178.
• [8] M. A. Pathan, Yasmeen, A note on a new generating relation for a generalized hypergeometric function, J. Math. Phys. Sci. 22 (1988), 1-9.
• [9] E. D. Rainville, Special functions, Macmillan Co., New York; Reprinted by Chelsea Publ. Co., Bronx, New York, 1960.
• [10] W. Schultz-Piszachich, Eine Klasse isotroper turbulenzer Felder mit Permanenzeigenschaft und existenten Tripelkorrelationen, ZAMM. 56 (1976), 303-314.
• [11] H. M. Srivastava, M. A. Pathan, M. Kamarujjama, Some unified presentations of the generalized Voigt functions, Comm. Appl. Anal. 2 (1998), 49-64.
• [12] U. Werner, W. Pietzch, Die Polynome Sn(x) zur darstellung der Energiespektralfunktionen idealer Turbulenzfelder, Zeitschr Angew. Math. Mech. 58 (1978), 166-168.