R: Zeta functions

Zeta {gsl} | R Documentation

## Zeta functions

### Description

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`

### Usage

    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)

### Arguments

`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.

### Author(s)

Robin K. S. Hankin

### References

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

### Examples

    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))

[Package gsl version 2.1-6 Index]