Module rgsl::gegenbauer

The Gegenbauer polynomials are defined in Abramowitz & Stegun, Chapter 22, where they are known as Ultraspherical polynomials.

Functions

gegenpoly_1	This function evaluates the Gegenbauer polynomials C{(\lambda)}_n(x) using explicit representations for n =1, 2, 3.
gegenpoly_2	This function evaluates the Gegenbauer polynomials C{(\lambda)}_n(x) using explicit representations for n =1, 2, 3.
gegenpoly_3	This function evaluates the Gegenbauer polynomials C{(\lambda)}_n(x) using explicit representations for n =1, 2, 3.
gegenpoly_1_e	This function evaluates the Gegenbauer polynomials C{(\lambda)}_n(x) using explicit representations for n =1, 2, 3.
gegenpoly_2_e	This function evaluates the Gegenbauer polynomials C{(\lambda)}_n(x) using explicit representations for n =1, 2, 3.
gegenpoly_3_e	This function evaluates the Gegenbauer polynomials C{(\lambda)}_n(x) using explicit representations for n =1, 2, 3.
gegenpoly_array	This function computes an array of Gegenbauer polynomials C{(\lambda)}_n(x) for n = 0, 1, 2, \dots, nmax, subject to \lambda > -1/2, nmax >= 0.
gegenpoly_n	This function evaluates the Gegenbauer polynomial C{(\lambda)}_n(x) for a specific value of n, lambda, x subject to \lambda > -1/2, n >= 0.
gegenpoly_n_e	This function evaluates the Gegenbauer polynomial C{(\lambda)}_n(x) for a specific value of n, lambda, x subject to \lambda > -1/2, n >= 0.