Some Types of Identities Involving the Legendre Polynomials

Shimeng Shen and Li Chen
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Shimeng Shen: School of Mathematics, Northwest University, Xi’an 710069, Shaanxi, China
Li Chen: School of Mathematics, Northwest University, Xi’an 710069, Shaanxi, China

Mathematics, 2019, vol. 7, issue 2, 1-7

Abstract: In this paper, a new non-linear recursive sequence is firstly introduced. Then, using this sequence, a computational problem involving the convolution of the Legendre polynomial is studied using the basic and combinatorial methods. Finally, we give an interesting identity.

Keywords: Legendre polynomials; recursive sequence; convolution sums; combinatorial method; identity; polynomial congruence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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