Abel's lemma on summation by parts and basic hypergeometric series

作者：Chu Wenchang^*

来源：Advances in Applied Mathematics, 2007, 39(4): 490-514.

DOI：10.1016/j.aam.2007.02.001

• Abel's lemma on summation by parts
• basic hypergeometric series

Basic hypergeometric series identities are revisited systematically by means of Abel's lemma on summation by parts. Several new formulae and transformations are also established. The author is convinced that Abel's lemma on summation by parts is a natural choice in dealing with basic hypergeometric series.

• 出版日期2007-10
• 单位大连理工大学