Laguerre Functions
The Laguerre polynomials are defined in terms of confluent
hypergeometric functions as
L^a_n(x) = ((a+1)_n / n!) 1F1(-n,a+1,x). These functions are
declared in the header file `gsl_sf_laguerre.h'.
- Function: double gsl_sf_laguerre_1 (double a, double x)
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- Function: double gsl_sf_laguerre_2 (double a, double x)
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- Function: double gsl_sf_laguerre_3 (double a, double x)
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- Function: int gsl_sf_laguerre_1_e (double a, double x, gsl_sf_result * result)
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- Function: int gsl_sf_laguerre_2_e (double a, double x, gsl_sf_result * result)
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- Function: int gsl_sf_laguerre_3_e (double a, double x, gsl_sf_result * result)
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These routines evaluate the generalized Laguerre polynomials
L^a_1(x), L^a_2(x), L^a_3(x) using explicit
representations.
- Function: double gsl_sf_laguerre_n (const int n, const double a, const double x)
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- Function: int gsl_sf_laguerre_n_e (int n, double a, double x, gsl_sf_result * result)
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Thse routines evaluate the generalized Laguerre polynomials
L^a_n(x) for a > -1,
n >= 0.