Combinatorial and hypergeometric identities via the Legendre polynomials––A computational approach

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摘要

In this paper old and new combinatorial and hypergeometric identities are obtained via the Legendre polynomials as one of the most commonly used orthogonal polynomials. The results are tested using MAPLE Computer Algebra System (CAS).

论文关键词：Orthogonal polynomials,Legendre polynomials,Hypergeometric series,MAPLE

论文评审过程：Available online 18 August 2004.

论文官网地址：https://doi.org/10.1016/j.amc.2004.04.066