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On binomial operator representations of certain polynomials

  • Khan, Mumtaz Ahmad [1] ; Nisar, K. S. [1]
    1. [1] Aligarh Muslim University

      Aligarh Muslim University

      India

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 2, 2011, págs. 137-148
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172011000200001
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  • Resumen
    • Based on the technique used by M.A.Khanand A. K. Shukla [4] here finite series representations of binomial partial differential operators have been used to establish operator representations of various polynomials not considered in the earlier mentioned paper. The results obtained are believed to be new.

  • Referencias bibliográficas
    • Citas [1] Andrews, G. E., Askey, R. and Roy, R.: Special functions. Cambridge University Press, (1999).
    • [2] Bedient,P. E.: Polynomials related to Appell functions of two variables. Michigan thesis, (1958).
    • [3] Chihara, T. S.: An introdution to Orthogonal Polynomials. Gordon and Breach, New York, (1978).
    • [4] Khan, M. A. and Shukla, A. K.: On Binomial and Trinomial operator representations of certain Polynomials. Italian Journal of Pure and...
    • [5] Khan, M. A. and Nisar K. S. : On bilinear operator representations of Laguerre and Jacobi polynomials. International transactions in Applied...
    • [6] Khan, M. A. and Nisar K. S.: Bilinear and Bilateral summation formulae of certain polynomials in the form of operator representations....
    • [7] Khan, M. A. and Nisar K. S.: On operator representations of various polynomials using the operator of W.A. Al-Salam. Int. J. Computational...
    • [8] Khan, M. A. and Nisar K. S.: Operationalrepresentations of Bilinear and Bilateral Generating formulae for polynomials. Mathematical Sciences...
    • [9] Rainville, E. D.: Special Functions, MacMillan, New York (1960), Reprinted by Chelsea Publishing Company, Bronx, New York (1971).
    • [10] Srivastava, H. M. and Manocha, H. L. : A Treatise on Generating Functions, Ellis Horwood Limited, Chichester, (1984).

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