f21hyper {BMS} R Documentation

## Gaussian Hypergeometric Function F(a,b,c,z)

### Description

Computes the value of a Gaussian hypergeometric function F(a,b,c,z) for -1 ≤q z ≤q 1 and a,b,c ≥q 0

### Usage

```f21hyper(a, b, c, z)
```

### Arguments

 `a` The parameter `a` of the Gaussian hypergeometric function, must be a positive scalar here `b` The parameter `b` of the Gaussian hypergeometric function, must be a positive scalar here `c` The parameter `c` of the Gaussian hypergeometric function, must be a positive scalar here `z` The parameter `z` of the Gaussian hypergeometric function, must be between -1 and 1 here

### Details

The function `f21hyper` complements the analysis of the 'hyper-g prior' introduced by Liang et al. (2008).
For parameter values, compare cf. http://en.wikipedia.org/wiki/Hypergeometric_function#The_series_2F1.

### Value

The value of the Gaussian hypergeometric function F(a,b,c,z)

### Note

This function is a simple wrapper function of sped-up code that is intended for sporadic application by the user; it is neither efficient nor general; for a more general version cf. the package '`hypergeo`'

### Author(s)

Martin Feldkircher and Stefan Zeugner

### References

Liang F., Paulo R., Molina G., Clyde M., Berger J.(2008): Mixtures of g-priors for Bayesian variable selection. J. Am. Statist. Assoc. 103, p. 410-423

package `hypergeo` for a more proficient implementation.

Check http://bms.zeugner.eu for additional help.

### Examples

```
f21hyper(30,1,20,.8) #returns about 165.8197

f21hyper(30,10,20,0) #returns one

f21hyper(10,15,20,-0.1) # returns about 0.4872972
```

[Package BMS version 0.3.1 Index]