Legendre Polynomials, Properties And Applications
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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
ENYINNAYA, M. (2021). Legendre Polynomials, Properties And Applications . Michael Okpara University of Agriculture. Retrieved June 8, 2026, from http://repository.mouau.edu.ng/works/legendre-polynomials-properties-and-applications-7-2
MLA
ENYINNAYA, MEZIE. "Legendre Polynomials, Properties And Applications ." Michael Okpara University of Agriculture, 30 Jun. 2021, http://repository.mouau.edu.ng/works/legendre-polynomials-properties-and-applications-7-2. Accessed June 8, 2026.
Chicago
ENYINNAYA, MEZIE. "Legendre Polynomials, Properties And Applications ." Michael Okpara University of Agriculture (2021). Accessed June 8, 2026. http://repository.mouau.edu.ng/works/legendre-polynomials-properties-and-applications-7-2