2023 / December Volume 18 No.4
Weisner's methodic study of modified Jacobi polynomial
Published Date |
2023 / December
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Title | Weisner's methodic study of modified Jacobi polynomial |
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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 | |
AMS Subject Classification |
33C45
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Received |
2023-10-12
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