Several transformation and summation formulae for nonterminating basic hypergeometric series are established through the modi?ed Abel lemma on summation by parts.
Referencias bibliográficas
W.N. Bailey,Generalized Hypergeometric Series, Cambridge University Press, Cambridge, 1935.
W.N. Bailey, Series of hypergeometric type which are infinite in both directions,Quart. J. Math. Oxford Ser. 7 (1936), 105–115.
W. Chu, Inversion techniques and combinatorial identities: Jackson’s qanalogue of the Dougall-Dixon theorem and the dual formulae,Compositio...
W. Chu, Bailey’s very wellpoised 6Φ6-series identity,J. Combin. Theory Ser. A 113 (2006), 966–979.