Hypergeometric functions for integer arguments
Hypergeometric functions for A and/or B being integers
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
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
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