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2023 / December Volume 18 No.4
Weisner's methodic study of modified Jacobi polynomial
Published Date
2023 / December
Title
Weisner's methodic study of modified Jacobi polynomial
Author
Asit Kumar Chongdar, Amartya Chongdar
Keyword
Jacobi polynomial, generating function
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Pagination
451-469
Abstract

In this paper we have obtained some novel generating functions of modified Jacobi polynomial $P_n^{(\alpha - n, \beta)}(x)$ by using Weisner's group theoretic method with the suitable interpretation of the index $(n)$ of the polynomial under consideration. Moreover, it has been shown that the generating functions involving Jacobi polynomial $P_n^{(\alpha, \beta)}(x)$ found derived in [18] by means of the same technique of Weisner with the double interpretation of $(n, \alpha)$ can be easily obtained from our results by the mere replacement of $\alpha$ by $\alpha + n$.

Furthermore, we have made some comments on some recent works in the light of the present paper.

DOI
10.21915/BIMAS.2023404
https://doi.org/10.21915/BIMAS.2023404
AMS Subject
Classification
33C45
Received
2023-10-12
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