Class HermitePolynomials
- java.lang.Object
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- dev.nm.analysis.integration.univariate.riemann.gaussian.rule.HermitePolynomials
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- All Implemented Interfaces:
OrthogonalPolynomialFamily
public class HermitePolynomials extends Object implements OrthogonalPolynomialFamily
A Hermite polynomial is defined by the recurrence relation below. \[ H_0(x) = 1,\quad H_1(x) = 2x, \quad (k+1) H_{k+1}(x) = 2x H_k(x) - 2k H_{k-1}(x). \]- See Also:
- Wikipedia: Hermite polynomials
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Constructor Summary
Constructors Constructor Description HermitePolynomials()
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description Polynomial
getPolynomial(int order)
Return an instance of the polynomial class of a given order.
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Method Detail
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getPolynomial
public Polynomial getPolynomial(int order)
Description copied from interface:OrthogonalPolynomialFamily
Return an instance of the polynomial class of a given order.- Specified by:
getPolynomial
in interfaceOrthogonalPolynomialFamily
- Parameters:
order
- the order of the polynomial- Returns:
- the polynomial instance
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