Zeta: Zeta functions
In gsl: Wrapper for the Gnu Scientific Library

Description Usage Arguments Author(s) References Examples

Zeta functions as per the Gnu Scientific Library 7.31 and AMS-55, section 23.2. These functions are declared in header file gsl_sf_zeta.h

zeta_int(n, give=FALSE, strict=TRUE)
zeta(s, give=FALSE, strict=TRUE)
zetam1_int(n, give=FALSE, strict=TRUE)
zetam1(s, give=FALSE, strict=TRUE)
hzeta(s, q, give=FALSE, strict=TRUE)
eta_int(n, give=FALSE, strict=TRUE)
eta(s, give=FALSE, strict=TRUE)

`n`	input: integer values
`s,q`	input: real 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.

Robin K. S. Hankin

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

n <- 1:10
cbind(n,zeta(n),eta(n))   #table 23.3, p 811


zeta_int(1:5)
zeta(c(pi,pi*2))
zetam1_int(1:5)
zetam1(c(pi,pi*2))
hzeta(1.1,1.2)
eta_int(1:5)
eta(c(pi,pi*2))