gsl (version 2.1-1)

Laguerre: Laguerre functions

Description

Laguerre functions as per the Gnu Scientific Library reference manual section 7.22. These functions are declared in header file gsl_sf_laguerre.h

Usage

laguerre_1(a, x, give=FALSE, strict=TRUE)
laguerre_2(a, x, give=FALSE, strict=TRUE)
laguerre_3(a, x, give=FALSE, strict=TRUE)
laguerre_n(n, a, x, give=FALSE, strict=TRUE)

Arguments

a,x

input: real values

n

input: integer values

give

Boolean with TRUE meaning to return a list of three items: the value, an estimate of the error, and a status number

strict

Boolean, with TRUE meaning to return NaN if status is an error

References

http://www.gnu.org/software/gsl

Examples

x <- seq(from=0,to=6,len=100)
plot(x,laguerre_n(2,0,x),xlim=c(0,6),ylim=c(-2,3),
          type="l",xaxt="n",yaxt="n",bty="n",xlab="",ylab="",
          main="Figure 22.9, p780")

lines(x,laguerre_n(3,0,x))
lines(x,laguerre_n(4,0,x))
lines(x,laguerre_n(5,0,x))
axis(1,pos=0)
axis(2,pos=0)