Legendre Polynomials
- Function: double gsl_sf_legendre_P1 (double x)
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- Function: double gsl_sf_legendre_P2 (double x)
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- Function: double gsl_sf_legendre_P3 (double x)
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- Function: int gsl_sf_legendre_P1_e (double x, gsl_sf_result * result)
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- Function: int gsl_sf_legendre_P2_e (double x, gsl_sf_result * result)
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- Function: int gsl_sf_legendre_P3_e (double x, gsl_sf_result * result)
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These functions evaluate the Legendre polynomials
P_l(x) using explicit
representations for l=1, 2, 3.
- Function: double gsl_sf_legendre_Pl (int l, double x)
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- Function: int gsl_sf_legendre_Pl_e (int l, double x, gsl_sf_result * result)
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These functions evaluate the Legendre polynomial
P_l(x) for a specific value of l,
x subject to
l >= 0,
|x| <= 1
- Function: int gsl_sf_legendre_Pl_array (int lmax, double x, double result_array[])
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This function computes an array of Legendre polynomials
P_l(x) for l = 0, \dots, lmax,
|x| <= 1
- Function: double gsl_sf_legendre_Q0 (double x)
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- Function: int gsl_sf_legendre_Q0_e (double x, gsl_sf_result * result)
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These routines compute the Legendre function Q_0(x) for x >
-1,
x != 1.
- Function: double gsl_sf_legendre_Q1 (double x)
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- Function: int gsl_sf_legendre_Q1_e (double x, gsl_sf_result * result)
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These routines compute the Legendre function Q_1(x) for x >
-1,
x != 1.
- Function: double gsl_sf_legendre_Ql (int l, double x)
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- Function: int gsl_sf_legendre_Ql_e (int l, double x, gsl_sf_result * result)
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These routines compute the Legendre function Q_l(x) for x >
-1,
x != 1 and
l >= 0.