Category: Legendre Functions

Three Term Recurrence Relations for the Legendre Functions by James Pate Williams, Jr.

bachelorthesis.dvi (uni-ulm.de)

My implementations and additional graphs for the Legendre functions mentioned in the thesis cited in the preceding line and PDF. The Legendre polynomials, functions, and associated functions have many applications in quantum mechanics and other branches of applied and theoretical physics.

Legendre Functions Application
Magnitude Graph for P(z, 8)
Imaginary Part for P(z, 8)
Real Part for P(z, 8)
Magnitudes of Q(z, 8)
Imaginary Part of Q(z, 8)
Real Part of Q(z, 8)
Graph of P(cos x, 8) Real Valued Function
Graph of Q(cos x, 8) Real Valued Function
Graph of P(x, 8) Real Valued Function
Graph of Q(x, 8) Real Valued Function
P(cos x, 30)
Q(cos x, 30)
P(x, 30)
Q(x, 30)