XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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Functions

Functions

double alaguerre (unsigned int n, unsigned int m, double x)
 Associated Laguerre polynomial Lnm(x)
 
double alegendre (unsigned int n, unsigned int m, double x)
 Associated Legendre polynomial Pnm(x)
 
double chebs (double c[], size_t n, double x)
 Evaluation of Chebyshev series
 
double chebt (unsigned int n, double x)
 Chebyshev polynomial of first kind Tn(x)
 
double chebtd (unsigned int n, double x)
 Derivative of Chebyshev polynomial of first kind Tn'(x)
 
double chebu (unsigned int n, double x)
 Chebyshev polynomial of second kind Un(x)
 
double gegenbauer (unsigned int n, double lambda, double x)
 Gegenbauer polynomial Cn(λ)(x)
 
double gegenbauerd (unsigned int n, double lambda, double x, unsigned int k)
 k-th derivative of Gegenbauer polynomial Cn(λ)(x)
 
double gegenbauerd1 (unsigned int n, double lambda, double x)
 First derivative of Gegenbauer polynomial Cn(λ)(x)
 
double hermite (unsigned int n, double x)
 Hermite polynomial Hn(x)
 
double jacobi (unsigned int n, double alpha, double beta, double x)
 Jacobi polynomial Pn(α, β)(x)
 
double jacobid (unsigned int n, double alpha, double beta, double x, unsigned int k)
 k-th derivative of Jacobi polynomial Pn(α, β)(x)
 
double jacobid1 (unsigned int n, double alpha, double beta, double x)
 First derivative of Jacobi polynomial Pn(α, β)(x)
 
double jacobid2 (unsigned int n, double alpha, double beta, double x)
 Second derivative of Jacobi polynomial Pn(α, β)(x)
 
double laguerre (unsigned int n, double x)
 Laguerre polynomial Ln(x)
 
double legendre (unsigned int n, double x)
 Legendre polynomial Pn(x)
 
double legendred (unsigned int n, double x)
 Derivative of Legendre polynomial Pn(x)
 
doublecomplex sharmonic (unsigned int l, int m, double theta, double phi)
 Spherical harmonic Ylm(θ, φ)
 
void sharmonic_sub (unsigned int l, int m, double theta, double phi, std::complex< double > *z)
 Spherical harmonic Ylm(θ, φ)
 
double sharmonici (unsigned int l, int m, double theta, double phi)
 Imaginary part of spherical harmonic Ylm(θ, φ)
 
double sharmonicr (unsigned int l, int m, double theta, double phi)
 Real part of spherical harmonic Ylm(θ, φ)
 

Detailed Description

This is the group of C3. Polynomials.