标题： 关于超几何恒等式在生成广义超几何约简公式中的应用 显示英文标题

标题： On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas

摘要： 我们系统地利用一个新的广义超几何恒等式来获得新的超几何求和公式。 作为一致性测试，也提供了某些特殊情况的替代证明。 作为副产品，推导出涉及ψ函数的有限和的新求和公式，或Bateman的G函数的递归公式。 最后，所有的结果都已用MATHEMATICA进行数值验证。 显示英文摘要

摘要： We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided. As a byproduct new summation formulas involving finite sums involving the psi function, or a recursive formula for the Bateman's G function are derived. Finally, all the results have been numerically checked with MATHEMATICA.