hypergeo (version 1.2-9)

hypergeo_gosper: Evaluation of the hypergeometric function using Gosper's method

Description

Evaluation of the hypergeometric function using Gosper's method

Usage

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

Arguments

A,B,C

Parameters (real)

z

Complex argument

tol

tolerance (passed to GCF())

maxiter

maximum number of iterations

Details

Gosper provides a three-term recurrence which converges when $z$ is close to a critical point

References

• https://www.ma.utexas.edu/pipermail/maxima/2006/000126.html

See Also

hypergeo_contfrac

Examples

z <- 1/2 - sqrt(3)/2i
hypergeo_gosper(1.1,5.1,3.1,z)

# Compare MMA: -0.192225 + 0.692328 I