ZEILBERG INDEX

ZEILBERG _ _ _ _ _ _ _ _ _ _ _ _ package

Authors: Gregor St"olting and Wolfram Koepf

This package is a careful implementation of the Gosper and Zeilberger algorithms for indefinite and definite summation of hypergeometric terms, respectively. Extensions of these algorithms are also included that are valid for ratios of products of powers, factorials, gamma function terms, binomial coefficients, and shifted factorials that are rational-linear in their arguments.