R: Hypergeometric functions

Hyperg {gsl} | R Documentation

## Hypergeometric functions

### Description

Hypergeometric functions as per the Gnu Scientific Library reference manual section 7.21 and AMS-55, chapters 13 and 15. These functions are declared in header file `gsl_sf_hyperg.h`

### Usage

    hyperg_0F1(c, x, give=FALSE, strict=TRUE)
    hyperg_1F1_int(m, n, x, give=FALSE, strict=TRUE)
    hyperg_1F1(a, b, x, give=FALSE, strict=TRUE)
    hyperg_U_int(m, n, x, give=FALSE, strict=TRUE)
    hyperg_U(a, b, x, give=FALSE, strict=TRUE)
    hyperg_2F1(a, b, c, x, give=FALSE, strict=TRUE)
    hyperg_2F1_conj(aR, aI, c, x, give=FALSE, strict=TRUE)
    hyperg_2F1_renorm(a, b, c, x, give=FALSE, strict=TRUE)
    hyperg_2F1_conj_renorm(aR, aI, c, x, give=FALSE, strict=TRUE)
    hyperg_2F0(a, b, x, give=FALSE, strict=TRUE)

### Arguments

`x` | input: real values
`a,b,c` | input: real values
`m,n` | input: integer values
`aR,aI` | 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

### Note

“The circle of convergence of the Gauss hypergeometric series is the unit circle |z|=1” (AMS, page 556).

### Author(s)

Robin K. S. Hankin

### References

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

### Examples

    hyperg_0F1(0.1,0.55)

    hyperg_1F1_int(2,3,0.555)
    hyperg_1F1(2.12312,3.12313,0.555)
    hyperg_U_int(2, 3, 0.555)
    hyperg_U(2.234, 3.234, 0.555)

[Package gsl version 2.1-6 Index]