Generating Function Of Extended Jacobi Polynomial Involving Stirling Number of Second Kind

Authors

  • N. M. Kavathekar
  • Gajanan Dhanorkar
  • T. B. Jagtap

DOI:

https://doi.org/10.53555/jaz.v44iS8.4096

Keywords:

Orthogonal  Polynomial, Stirling  Number

Abstract

 

In this paper we have obtained the generating function of extended Jacobi polynomial containing Stirling number of the second kind. Some  particular  cases  are  also  obtained

 

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Author Biographies

N. M. Kavathekar

Mudhoji College, Phaltan, Dist-Satara (M.S.) India  

Gajanan Dhanorkar

K.B.P. College Vashi, Navi Mumbai, India  

T. B. Jagtap

K.B.P. College Vashi, Navi Mumbai, India   

References

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K.R. Patil: Some Problems Connected with Higher Transcendental Function. Ph.D. Thesis, Shivaji University, Kolhapur (1977).

Shy - Der Lin - Shih - Tong Tu -H.M. Shrivastava : Some generating functions involving the stirling numbers of the second kind, Rend.Sem. Mat. Univ. Pol. Torino, 59(3), (2001).

H.M. Shrivastava: Some families of generating functions associated with the stirling numbers of the second kind, Jour of Mathematical Analysis and Applications., 251, (2000), 752 - 769.

H.M. Shrivastava, and H.L. Manocha: A Treatise on Generating Functions, Ellis Harwood Ltd. , (1984).

N.K. Thakare: A Study of certain sets of orthogonal polynomials and their applications, Ph.D. Thesis, Shivaji University, Kolhapur.

N.K. Thakare: Generating function in the unified form for the classical orthogonal polynomials by using operator calculus, Ganita 28, (1977), 55-63.

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Published

2023-12-26

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