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On a sequence of functions Vn (α,β,δ) (x;a, k, s)

  • Ajudia, Naresh K. [1] ; Prajapati, Jyotindra C. [2]
    1. [1] Charotar University of Science Technology.
    2. [2] Marwadi University.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 4, 2016, págs. 417-436
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172016000400005
  • Enlaces
  • Resumen
    • In this paper, authors established various properties of a sequence of functions {V(α,β,γ)(x;a,k,s)/n = 0,1,2,...} such as generating relations, bilateral generating relations, finite summation formulae, generating functions involving Stirling number, explicit representation and integral transforms.

  • Referencias bibliográficas
    • Citas [1] Buchholz, H., The Confluent Hypergeometric Function, SpringerVerlag, New York, (1969).
    • [2] Hubble, J. H. and Srivastava, H. M., Certain Theorem on Bilateral Generating Functions Involving Hermite, Laguerre and Gegenbauer Polynomials,...
    • [3] McBride, E. B., Obtaining Generating Functions, Springer Verlag, Berlin, (1971).
    • [4] Prajapati, J. C. and Ajudia, N. K., On New Sequence of Functions and Their MATLAB Computation, International J. of Phy., Chem. and Math....
    • [5] Riordan, J., Combinatorial Identities, John Wiley & Sons, Inc., U.S.A., (1968).
    • [6] Shukla, A. K. and Prajapati, J. C., Some Properties of a Class of Polynomials Suggested by Mittal, Proyecciones Journal of Mathematics,...
    • [7] Singhal, J. P. and Srivastava, H. M., A Class of Bilateral Generating Functions for Certain Classical Polynomials. Pacific J. Math., 42,...
    • [8] Srivastava, H. M., Some Generalizations of Carlitz’s Theorem. Pacific J. of Math., 85(2), pp. 471-477, (1979).
    • [9] Srivastava, H. M., Some Bilateral Generating Functions for a Certain Class of Special Functions-I and II, Proc. Indag. Math., 83(2), pp....
    • [10] Srivastava, H. M., Some Families of Generating Functions Associated with the Stirling Numbers of the Second Kind, Journal of Math. Anal....
    • [11] Srivastava, H. M. and Lavoie, J.-L., A Certain Method of Obtaining Bilateral Generating Functions, Indag. Math., 78(4), pp. 304-320,...
    • [12] Srivastava, H. M. and Manocha, H. L., A Treatise on Generating Functions, Ellis Harwood Limited-John Wiley and Sons, New York, (1984).

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