ABSTRACT:
In this note, we have obtained some novel results on bilateral generating functions involving P( n, ) (x) n k , a modified form of Jacobi Polynomials by group theoretic method. In fact, in section 1, we have introduced a linear partial differential operator R which do not seem to have appeared in the earlier investigations and then we have obtained the extended form of the group generated by R. Finally, in section 2, we have obtained a novel generating relation involving the polynomial under consideration with the help of which, we have proved a general theorem on bilateral generating relations of P( n, ) (x) n kSome particular cases of interest are also discussed.
KEYWORDS: Bilateral generating relation, Jacobi Polynomials, AMS-2000 classification code : 33C65
- DOI:
jusps-A
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In this note, we have obtained some novel results on bilateral generating functions involving P( n, ) (x) n k , a modified form of Jacobi Polynomials by group theoretic method. In...