LIE-ALGEBRA AND MODIFIED JACOBI POLYNOMIALS
Journal Title: Journal of Science And Arts - Year 2013, Vol 23, Issue 2
Abstract
In the present paper, L. Weisner’s group-theoretic method has been utilized in obtaining generating functions of , a modification of the Jacobi polynomials - In section 1, with the suitable simultaneous interpretations of the index and the parameters of the modified Jacobi polynomials, a set of linear partial differential operators, their commutators and the extended form of the groups corresponding to the operators are introduced and on showing that they form a four diamentional Lie algebra, we obtain in section 3, a novel generating relation for the polynomial under consideration which in turn yields a number of generating relations most of which are seem to be new.
Authors and Affiliations
CHANDRA SEKHAR BERA
Keywords
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