hypergeo_A_nonpos_int: Hypergeometric functions for integer arguments
In hypergeo: The Gauss Hypergeometric Function

Description Usage Arguments Details Author(s) References See Also Examples

Hypergeometric functions for A and/or B being integers

1 2	hypergeo_A_nonpos_int(A, B, C, z, tol = 0) hypergeo_AorB_nonpos_int(A, B, C, z, tol = 0)

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

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().

Robin K. S. Hankin

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

hypergeo

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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