A note on generating functions and summation formulae for Meixner polynomials of several variables

• Autorzy: Khan M. A. , Akhlaq M.
• Języki publikacji: EN

Abstrakty

EN

The present paper deals with certain generating functions and various elegant summation formulae for Meixner polynomials of several variables.

Słowa kluczowe

EN

generating functions; summation formulae

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 1
• Strony: 51--66
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Khan M. A.

autor

Akhlaq M.

• Department Of Applied Mathematics Faculty Of Engineering And Technology Aligarh Muslim University, Aligarh - 202002, U.P., India,

Bibliografia

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• [2] B. Gabutti, J. N. Lyness, Some generalization of the Euler-Knopp transformation, Numer. Math. 48 (1986), 199–220.
• [3] H. M. Srivastava, Some families of generating functions associated with the Stirling numbers of the second kind, J. Math. Anal. Appl. 251 (2000), 752–769.
• [4] H. M. Srivastava, H. L. Manocha, A Treatise on Generating Functions, John Wiley and Sons (Halsted Press, New York, Ellis Horwood, Chichester) 1984.
• [5] J. Riordan, Combinatorial Identities, Wiley Tracts on Probability and Statistics, John Wiley and Sons, New York, London, Sydney, 1968.
• [6] L. Carlitz, A class of generating functions, SIAM J. Math. Anal. 8 (1977), 518–532.
• [7] M. A. Khan, M. Akhlaq, A note on generating functions of Meixner Polynomials of several variables, communicated for publication.
• [8] M. L. Mathis, S. Sismondi, Alcune funzioni generatrici di funzioni speciali, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 118 (1984), 185–192.
• [9] M. V. Tratnik, Multivariable Meixner, Krawtchouk, and Meixner-Pollaczek polynomials, J. Math. Phys. 30(12) (1989).
• [10] T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach Science Publishers Inc. New York, 1978.
• [11] Y. Xu, On discrete orthogonal polynomials of several variables, Adv. in Appl. Math. 33 (2004), 615–632.