Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations
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ABSTRACT
The Legendre polynomials have been derived using their generating function defined by 1 w(x, t) = (1 - 2xt + t 2 )-2 and recurrence relations developed by their use. These recurrence relations were employed to show that the polynomials are solutions of the Legendre second order non-homogenous linear ordinary differential equation.
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APA
(2022). Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations. Michael Okpara University of Agriculture. Retrieved August 20, 2026, from https://repository.mouau.edu.ng/works/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2
MLA
"Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations." Michael Okpara University of Agriculture, 15 Dec. 2022, https://repository.mouau.edu.ng/works/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2. Accessed August 20, 2026.
Chicago
"Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations." Michael Okpara University of Agriculture (2022). Accessed August 20, 2026. https://repository.mouau.edu.ng/works/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2