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On generating functions of modified Jacobi polynomials

  • Chongdar, Amartya [1]
    1. [1] Bangabasi College.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 4, 2022, págs. 923-932
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-5267
  • Enlaces
  • Resumen
    • In this paper, the present author has made an attempt to present a generalization of the result on bilateral generating functions involving modified Jacobi polynomials, found derived in [1, 2], by means of the theory of one parameter group of continuous transformations and using the notion of partial quasi bilateral generating function [3] involving some special functions.

  • Referencias bibliográficas
    • A. K. Chongdar, “On a class of bilateral generating functions for certain special functions”, Proceedings of the Indian Academy of Sciences...
    • A. K. Chongdar and M. C. Mukkherjee, “On a class of bilateral generating functions of certain special functions”, Bulletin of the Institute...
    • A. K. Mondal, “A unified group theoretic method of obtaining a more general class of generating relations from a given class of partial quasi-bilateral...
    • A. K. Mondal, “Partial quasi bilateral generating function involving Laguerre and Gegenbauer polynomials (I)”, Pure Mathematics Manuscript,...
    • A. K. Mondal, “Partial quasi bilinear generating function involving Laguerre polynomials”, Pure Mathematics Manuscript, vol. 10, pp. 89-95,...
    • L. Weisner, “Group-theoretic origin of certain generating function”, Pacific Journal of Mathematics, vol. 5, no. 6, pp. 1033–1039, 1955. https://doi.org/10.2140/pjm.1955.5.1033.
    • L. Weisner, “Generating functions for hermite functions”, Canadian Journal of Mathematics, vol. 11, pp. 141–147, 1959. https://doi.org/10.4153/cjm-1959-018-4
    • L. Weisner, “Generating functions for Bessel functions,” Canadian Journal of Mathematics, vol. 11, pp. 148–155, 1959. https://doi.org/10.4153/cjm-1959-019-1
    • S. Das, “On partial differential operators for Jacobi polynomials”, Pure Mathematics Manuscript, vol. 3, pp. 95-104, 1984.
    • S. K. Chatterjea and S. P. Chakrabarty, “A unified group-theoretic method of obtaining a more general class of generating relations from a...
    • E. D. Rainville, Special functions. New York: Chelsea publishing Co., 1960.
    • A. K, Chongdar and S. K. Chatterjea, “On a class of trilateral generating relations with Tchebycheff polynomials from the view point of one...

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