Legendre Polynomials, Properties And Applications
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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MEZIE, E (2021). Legendre Polynomials, Properties And Applications . Repository.mouau.edu.ng: Retrieved Dec 21, 2024, from https://repository.mouau.edu.ng/work/view/legendre-polynomials-properties-and-applications-7-2
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 21 Dec. 2024.
ENYINNAYA, MEZIE. "Legendre Polynomials, Properties And Applications ". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 30 Jun. 2021. Web. 21 Dec. 2024. < https://repository.mouau.edu.ng/work/view/legendre-polynomials-properties-and-applications-7-2 >.
ENYINNAYA, MEZIE. "Legendre Polynomials, Properties And Applications " Repository.mouau.edu.ng (2021). Accessed 21 Dec. 2024. https://repository.mouau.edu.ng/work/view/legendre-polynomials-properties-and-applications-7-2