hypergeomq

Fast evaluation of the generalized hypergeometric function

Fast evaluation of the generalized hypergeometric function.

hypergeomq(N,D,Z) evaluates the generalized hypergeometric function for the vector parameters N and D at the values in the array Z. N, D, and Z can be any numeric or logical datatype and may be complex. The output will have the same dimensions as Z and will be double-precision unless Z is single-precision, in which case, the output will be as well.

hypergeomq uses the same low-level function as hypergeom, but implements several optimizations to achieve a performance boost of approximately an order of magnitude. Results from the two functions should agree to the precision of the inputs. Additionaly, hypergeomq can avoid some errors due to singularities that can occur when hypergeom is evaluated with numeric Z values.