Description Usage Arguments Value Author(s) See Also Examples

This function computes the Laguerre polynomial, which is useful in applications involving the variance of the Rice distribution (see `parrice`

). The Laguerre polynomial is

*
L_{1/2}(x) = \exp^{x/2}\times[(1-x)I_0(-x/2) - xI_1(-x/2)]\mbox{,}
*

where the modified Bessel function of the first kind is *I_k(x)*, which has an **R** implementation in `besselI`

, and for strictly integer *k* is defined as

*I_k(x) = \frac{1}{π} \int_0^π \exp(x\cos(θ)) \cos(k θ)\; \mathrm{d}θ\mbox{.}*

1 | ```
LaguerreHalf(x)
``` |

`x` |
A value. |

The value for the Laguerre polynomial is returned.

W.H. Asquith

1 | ```
LaguerreHalf(-100^2/(2*10^2))
``` |

wasquith/lmomco documentation built on Oct. 27, 2018, 3:30 a.m.

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