| Package | Description |
|---|---|
| dev.nm.analysis.integration.univariate.riemann.gaussian.rule |
| Modifier and Type | Class and Description |
|---|---|
class |
HermitePolynomials
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)
|
class |
LaguerrePolynomials
Laguerre polynomials are defined by the recurrence relation below.
\[
L_0(x) = 1,\quad L_1(x) = 1 - x, \quad (k+1) L_{k+1}(x) = (2k+1-x) L_k(x) - k L_{n-1}(x)
|
class |
LegendrePolynomials
A Legendre polynomial is defined by the recurrence relation below.
\[
P_0(x) = 1,\quad P_1(x) = x, \quad (n+1) P_{n+1}(x) = (2n+1) x P_n(x) - n P_{n-1}(x)
|
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