一些超几何级数恒等式的新的证明

New Proof for Some Terminating Hypergeometric Series Identities

中文关键词:  Abel分部求和法  经典超几何级数.

英文关键词:Abel's lemma on summation by parts  classical hypergeometric series.

中文摘要:

      Abel分部求和法可以用来研究终止型超几何级数求和公式.利用这一方法,很多已有的超几何级数的求和公式被重新证明,并得到了一些新的求和公式.

英文摘要:

      The Abel's lemma on summation by parts is employed to evaluate terminating hypergeometric series. Several summation formulae are reviewed and some new identities are established.