R: Hypergeometric functions for integer arguments

hypergeo_A_nonpos_int {hypergeo} | R Documentation

## Hypergeometric functions for integer arguments

### Description

Hypergeometric functions for A and/or B being integers

### Usage

    hypergeo_A_nonpos_int(A, B, C, z, tol = 0)
    hypergeo_AorB_nonpos_int(A, B, C, z, tol = 0)

### Arguments

`A,B,C` | Parameters for the hypergeometric function
`z` | Primary complex argument
`tol` | tolerance

### Details

The “point” of these functions is that if A and C (or B and C) are identical nonpositive integers, a warning needs to be given because the function is defined as the appropriate limit and one needs to be sure that both A and C approach that limit at the same speed.

Function `hypergeo_AorB_nonpos_int()` is a convenience wrapper for `hypergeo_A_nonpos_int()`.

### Author(s)

Robin K. S. Hankin

### References

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

### See Also

`hypergeo`

### Examples

    jjR1 <- hypergeo(-4, pi, 2.2 , 1+6i)
    jjR2 <- hypergeo(pi, -4, 2.2 , 1+6i)  # former bug
    jjM <- 3464.1890402837334002-353.94143580568566281i  # value given by Mathematica

[Package hypergeo version 1.2-13 Index]