Some Identities and Inequalities Involving Symmetry Sums of Legendre Polynomials

Author:

Wang Tingting,Qiao Liang

Abstract

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference20 articles.

1. Polynomials and Polynomial Inequalities;Borwein,1995

2. Fourier Series and Orthogonal Polynomials;Jackson,2004

3. Some Types of Identities Involving the Legendre Polynomials

4. The relationship of Legendre polynomials and Chebyshev polynomials;Zhou;Pure Appl. Math.,1999

5. A New Identity Involving the Chebyshev Polynomials

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