Ir al contenido

Documat


On some properties of a class of polynomials suggested by mittal

  • Shukla, Ajay K. [1] ; Prajapati, Jyotindra C. [1]
    1. [1] National Institute Of Technology

      National Institute Of Technology

      Japón

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 26, Nº. 2, 2007, págs. 145-156
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172007000200001
  • Enlaces
  • Resumen
    • The object of this paper is to establish some generating relations by using operational formulae for a class of polynomials T(α+s−1) kn (x) defined by Mittal. We have also derived finite summation formulae for (1.6) by employing operational techniques. In the end several special cases are discussed.

  • Referencias bibliográficas
    • Citas [1] A. M.Chak, A class of polynomials and generalization of stirling numbers, Duke J. Math. 23 pp. 45—55, (1956).
    • [2] S. K. Charttejea, On generalization of Laguerre polynomials, Rend. Mat. Univ. Padova 34, pp. 180—190, (1964).
    • [3] H. W. Gould and A. T. Hopper, Operational formulas connected with two generalizations of Hermite polynomials, Duke Math. J. 29, pp. 51—63,...
    • [4] E. B. McBride, Obtaining Generating Functions, Springer-Verlag New York, (1971).
    • [5] H. B. Mittal, A generalization of Laguerre polynomials, Publ. Math. Debrecen, 18, pp. 53—88, (1971).
    • [6] H. B. Mittal, Operational representations for the generalized Laggure polynomial, Glasnik Mat. Ser III, 6(26), pp. 45—53, (1971).
    • [7] H. B. Mittal, Bilinear and bilateral generating relations, American J. Math. 99, pp. 23—45, (1977).
    • [8] K. R. Patil and N.K. Thakre, Operational formulas for a function defined by a generalized Rodrigues formula-II, Sci. J. Shivaji Univ....
    • [9] E. D. Rainville, Special Functions, The Macmillan Company, New York, (1960).
    • [10] R. P. Singh, On generalized Truesdell polynomials, Rivista de Mathematica, 8, pp. 345—353, (1968).
    • [11] H. M. Srivastava, Some biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 98(1), pp. 235—250, (1982).
    • [12] H. M. Srivastava and H.L. Manocha, A Treatise on Generating Functions, Ellis Horwood Limited, Chichester, (1984).

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno