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Some Identities and Inequalities Involving Symmetry Sums of Legendre Polynomials

Some Identities and Inequalities Involving Symmetry Sums of Legendre Polynomials

By using the analysis methods and the properties of Chebyshev polynomials of the first kind, this paper studies certain symmetry sums of the Legendre polynomials, and gives some new and interesting identities and inequalities for them, thus improving certain existing results.