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Abel's method on summation by parts and nonterminating q-series identities

  • Autores: Chu Wenchang, Wenlong Zhang
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 60, Fasc. 2, 2009, págs. 193-211
  • Idioma: inglés
  • DOI: 10.1007/bf03191209
  • Enlaces
  • Resumen
    • Several transformation and summation formulae for nonterminating basic hypergeometric series are established through the modi?ed Abel lemma on summation by parts.

  • Referencias bibliográficas
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    • W. Chu, Bailey’s very wellpoised 6Φ6-series identity,J. Combin. Theory Ser. A 113 (2006), 966–979.
    • W. Chu, Abel’s lemma on summation by parts and Ramanujan’s 1Φ1-series identity,Aequationes Math.72 (2006), 172–176.
    • G. Gasper and M. Rahman,Basic Hypergeometric Series (2nd ed.), Encyclopedia of Mathematics and its Applications, 96, Cambridge University...
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    • M. Rahman, Some quadratic and cubic summation formulas for basic hypergeometric series,Canad. J. Math. 45 (1993), 394–411.
    • L.J. Slater,Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966.

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