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On generating functions of extended Jacobi polynomials
Chongdar, Asit Kumar
Chongdar, Amartya
Mohanta, Sushanta Kumar
2023
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e-ISSN
2464-8728
Abstract
In this paper we have obtained some novel generating functions of Fn(α, β−α; x) – a modified form of the extended Jacobi polynomial Fn(α, β; x) – by means of Weisner’s group-theoretic method with the suitable interpretation of the parameter α of the polynomial under consideration. Moreover, we have shown that the generating functions involving the extended Jacobi polynomial Fn(α, β; x) derived in [2], obtained by using the same Weisner’s group-theoretic method with the suitable interpretation of (α, β), can be easily obtained from our results. Finally, a group-theoretic method of obtaining general bilateral generating relation from general unilateral generating relation is also discussed.
Source
Asit Kumar Chongdar, Amartya Chongdar, Sushanta Kumar Mohanta, "On generating functions of extended Jacobi polynomials" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.55 (2023)", EUT Edizioni Università di Trieste, Trieste, 2023, pp. 173-182
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en
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