We present our newly developed Mathematica package HolonomicFunctions
which serves for automatic finding and proving of holonomic function
identities. The class of holonomic functions includes most of the
elementary functions (like sine, exponential, logarithm, algebraic
expressions, etc.) and the majority of so-called special functions
(like Bessel functions, orthogonal polynomials, hypergeometric
functions, etc.). The package adresses both summation and integration
problems. |