Module rgsl::legendre::polynomials

Functions

legendre_P1	This function evaluates the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
legendre_P1_e	This function evaluates the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
legendre_P2	This function evaluates the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
legendre_P2_e	This function evaluates the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
legendre_P3	This function evaluates the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
legendre_P3_e	This function evaluates the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
legendre_Pl	This function evaluates the Legendre polynomial P_l(x) for a specific value of l, x subject to l >= 0, |x| <= 1
legendre_Pl_array	This function computes arrays of Legendre polynomials P_l(x) and derivatives dP_l(x)/dx, for l = 0, \dots, lmax, |x| <= 1
legendre_Pl_deriv_array	This function computes arrays of Legendre polynomials P_l(x) and derivatives dP_l(x)/dx, for l = 0, \dots, lmax, |x| <= 1
legendre_Pl_e	This function evaluates the Legendre polynomial P_l(x) for a specific value of l, x subject to l >= 0, |x| <= 1
legendre_Q0	This function computes the Legendre function Q_0(x) for x > -1, x != 1
legendre_Q0_e	This function computes the Legendre function Q_0(x) for x > -1, x != 1
legendre_Q1	This function computes the Legendre function Q_0(x) for x > -1, x != 1.
legendre_Q1_e	This function computes the Legendre function Q_0(x) for x > -1, x != 1.
legendre_Ql	This function computes the Legendre function Q_l(x) for x > -1, x != 1 and l >= 0.
legendre_Ql_e	This function computes the Legendre function Q_l(x) for x > -1, x != 1 and l >= 0.