# Gegenbauer Struct Reference

Evaluate the Gegenbauer polynomials for integer order. More...

`#include <Gegenbauer.h>`

List of all members.

## Static Public Member Functions

double GegenPoly1 (const double lambda, const double x)
Evaluate Gegenbauer polynomial of order 1.

Dpair GegenPoly1Err (const double lambda, const double x)
Evaluate Gegenbauer polynomial of order 1 and estimate the error.

double GegenPoly2 (const double lambda, const double x)
Evaluate Gegenbauer polynomial of order 2.

Dpair GegenPoly2Err (const double lambda, const double x)
Evaluate Gegenbauer polynomial of order 2 and estimate the error.

double GegenPoly3 (const double lambda, const double x)
Evaluate Gegenbauer polynomial of order 3.

Dpair GegenPoly3Err (const double lambda, const double x)
Evaluate Gegenbauer polynomial of order 3 and estimate the error.

double GegenPolyN (const int n, const double lambda, const double x)
Evaluate Gegenbauer polynomial of order n.

Dpair GegenPolyNErr (const int n, const double lambda, const double x)
Evaluate Gegenbauer polynomials of order n and estimate the error.

Dvector GegenPolyArray (const int nmax, const double lambda, const double x)
Evaluate Gegenbauer polynomials for fixed lambda and x and n = 0,...,nmax.

Dvector GegenPolyArrayErr (const int nmax, const double lambda, const double x)
Evaluate Gegenbauer polynomial for fixed lambda and x and n = 0,...,nmax and estimate the error.

## Detailed Description

Evaluate the Gegenbauer polynomials for integer order.

Definition at line 27 of file Gegenbauer.h.

## Member Function Documentation

 double Gegenbauer::GegenPoly1 ( const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial of order 1.

 Dpair Gegenbauer::GegenPoly1Err ( const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial of order 1 and estimate the error.

 double Gegenbauer::GegenPoly2 ( const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial of order 2.

 Dpair Gegenbauer::GegenPoly2Err ( const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial of order 2 and estimate the error.

 double Gegenbauer::GegenPoly3 ( const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial of order 3.

 Dpair Gegenbauer::GegenPoly3Err ( const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial of order 3 and estimate the error.

 Dvector Gegenbauer::GegenPolyArray ( const int nmax, const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomials for fixed lambda and x and n = 0,...,nmax.

 Dvector Gegenbauer::GegenPolyArrayErr ( const int nmax, const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial for fixed lambda and x and n = 0,...,nmax and estimate the error.

 double Gegenbauer::GegenPolyN ( const int n, const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomial of order n.

 Dpair Gegenbauer::GegenPolyNErr ( const int n, const double lambda, const double x ) ` [static]`
 Evaluate Gegenbauer polynomials of order n and estimate the error.

The documentation for this struct was generated from the following file:
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