Legendre Polynomials, Properties And Applications

MEZIE ENYINNAYA | 50 pages (6621 words) | Projects

ABSTRACT

Legendre's equation is a second order differential equation given as (1 -x2 -2xy'+m(m+l)y=O Like most differential equations, it can be solved using various methods. This work uses the power series method to arrive at a solution known as the Legendre polynomials. This forms the heart of chapter two. Properties of Legendre polynomials which include orthogonal, generating function, recurrence relation and Legendre-Fourier series as the best least square approximation for integrable functions were discussed in chapter three. Finally, the zeros of Legendre polynomials were treated in the last chapter

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APA

MEZIE, E (2021). Legendre Polynomials, Properties And Applications . Repository.mouau.edu.ng: Retrieved Feb 08, 2023, from https://repository.mouau.edu.ng/work/view/legendre-polynomials-properties-and-applications-7-2

MLA 8th

ENYINNAYA, MEZIE. "Legendre Polynomials, Properties And Applications " Repository.mouau.edu.ng. Repository.mouau.edu.ng, 30 Jun. 2021, https://repository.mouau.edu.ng/work/view/legendre-polynomials-properties-and-applications-7-2. Accessed 08 Feb. 2023.

MLA7

ENYINNAYA, MEZIE. "Legendre Polynomials, Properties And Applications ". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 30 Jun. 2021. Web. 08 Feb. 2023. < https://repository.mouau.edu.ng/work/view/legendre-polynomials-properties-and-applications-7-2 >.

Chicago

ENYINNAYA, MEZIE. "Legendre Polynomials, Properties And Applications " Repository.mouau.edu.ng (2021). Accessed 08 Feb. 2023. https://repository.mouau.edu.ng/work/view/legendre-polynomials-properties-and-applications-7-2

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