spherical

Module containing functions for computing spin weighted spherical harmonics and spherical-spheroidal mixing coefficients.

Functions

mixing_coefficients(s, ell, m, g, num_terms)	Computes the spherical-spheroidal mixing coefficients up to the specified number of terms
separation_constants(s, m, g, num_terms)	Computes the angular separation constants up to the specified number of terms.
spectral_matrix_bands(s, m, g, num_terms)	Returns the diagonal bands of the matrix used to compute the spherical-spheroidal mixing coefficients.
spectral_matrix_complex(s, m, g, order)	Returns the matrix used to compute the spherical-spheroidal mixing coefficients.
sphericalY(s, l, m)	Computes the spin-weighted spherical harmonic with spin weight s, degree l, and order m.
sphericalY_deriv(s, l, m)	Computes the derivative with respect to theta of the spin-weighted spherical harmonic with spin weight s, degree l, and order m.
sphericalY_deriv2(s, ell, m)	Computes the second derivative with respect to theta of the spin-weighted spherical harmonic with spin weight s, degree l, and order m.
sphericalY_eigenvalue(s, l, m)	Computes the eigenvalue of the spin-weighted spherical harmonic with spin weight s, degree l, and order m.