Module rgsl::gegenbauer [−][src]
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_1_e | 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_2_e | 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_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. |