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.
-- (2022). Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations. Repository.mouau.edu.ng: Retrieved Sep 08, 2024, from https://repository.mouau.edu.ng/work/view/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2
--. "Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 15 Dec. 2022, https://repository.mouau.edu.ng/work/view/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2. Accessed 08 Sep. 2024.
--. "Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 15 Dec. 2022. Web. 08 Sep. 2024. < https://repository.mouau.edu.ng/work/view/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2 >.
--. "Demonstration Of Legendre Polynomials As Solutions Of Legendre Differential Equations" Repository.mouau.edu.ng (2022). Accessed 08 Sep. 2024. https://repository.mouau.edu.ng/work/view/demonstration-of-legendre-polynomials-as-solutions-of-legendre-differential-equations-7-2