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