On linearization coefficients of Jacobi polynomials

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Abstract

This article deals with the problem of finding closed analytical formulae for generalized linearization coefficients for Jacobi polynomials. By considering some special cases, we obtain a reduction formula using for this purpose symbolic computation, in particular Zeilberger’s and Petkovsek’s algorithms.

Keywords

Jacobi polynomials
Linearization coefficients
Reduction formulae

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