Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations
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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--. "Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations" Repository.mouau.edu.ng (2022). Accessed 04 Dec. 2024. https://repository.mouau.edu.ng/work/view/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2