Search results with tag "Legendre polynomials"
Time and Frequency Domains
www.magazines007.comThere is a whole class of functions called orthonormal functions, or sometimes called eigenfunctions or basis functions, which could be used to describe any time-domain waveform. Other orthonormal functions are Hermite Polynomials, Legendre Polynomials, Laguerre Polynomials, and Bessel Functions.
Mathematical Methods (10/24.539) VIII. Special Functions ...
www.profjrwhite.comMath Methods -- Section VIII: Special Functions and Orthogonality 2 Legendre’s Equation and Legendre Polynomials (in more detail) • Solution via the Power Series Method
Legendre Polynomials - Lecture 8 - University of Houston
nsmn1.uh.eduSturm-Liouville problem. Put Legendre’s equation in self adjoint form; d dx [(1− x2) dPl(x) dx] +l(l +1)Pl(x) = 0 Then look at the equation for Pn(x) and subtract the equations for Pl and Pn after multipli-cation of the first by Pn and the later by Pl. Integrate the result between ±1. This results in [(1− x2)P nP ′ l − (1−x2)PlP ...