HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions
This paper introduces HyperPrecision, a Mathematica package that enables high-precision numerical evaluation of multivariate hypergeometric functions and their Laurent expansions by automatically constructing Pfaffian systems, reducing them to ordinary differential equations along a contour, and solving them via the Frobenius method to overcome convergence limitations in physics and mathematics applications.