R: The hypergeometric function as determined by power series

hypergeo_powerseries {hypergeo} | R Documentation

## The hypergeometric function as determined by power series

### Description

The hypergeometric function as determined by infinite (`hypergeo_powerseries()`) or finite (`hypergeo_taylor()`) power series

### Usage

    hypergeo_powerseries(A, B, C, z, tol = 0, maxiter = 2000)

### Arguments

`A,B,C` | Parameters of the hypergeometric function
`z` | Primary complex argument
`tol,maxiter` | Numerical arguments

### Details

Function `hypergeo_powerseries()` is the primary decision-making function of the package. It is this function that detects degenerate cases of the three parameters and dispatches accordingly. Non-degenerate cases are sent to function `hypergeo_general()`.

Function `hypergeo_taylor()` deals with cases where the hypergeometric function is a polynomial.

### Author(s)

Robin K. S. Hankin

### References

M. Abramowitz and I. A. Stegun 1965. Handbook of mathematical functions. New York: Dover

### See Also

`hypergeo`,`genhypergeo`

### Examples

    jjR <- hypergeo(pi,-4,2.2,1+5i)
    jjM <- 1670.8287595795885335 - 204.81995157365381258i

[Package hypergeo version 1.2-13 Index]