Abstract
Hypergeometric series identities are revisited systematically by means of Abel's method on summation by parts. Several new formulae and transformations are also established. The author is convinced that Abel's method on summation by parts is a natural choice in dealing with classical hypergeometric series.
2000 Mathematics Subject Classification:
Notes
‡Current Address: Dipartimento di Matematica, Università degli Studi di Lecce, Lecce-Arnesano P. O. Box 193 73100 Lecce, Italia. Tel.: +39-832-297409. Fax: +39-832-297594. Email: [email protected]
This work is carried out during my visit to Dalian University of Technology (2005).