Another proof of Bailey’s ₆ψ₆ summation

Summary.

Adapting a method used by Cauchy, Bailey, Slater, and more recently, the second author, we give a new proof of Bailey’s celebrated ₆ψ₆ summation formula.

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Authors and Affiliations

1. Institut Girard Desargues, Université Claude Bernard (Lyon 1), F–69622, Villeurbanne, Cedex, France

   Frédéric Jouhet

2. Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A–1090, Wien, Austria

   Michael Schlosser

Authors

1. Frédéric Jouhet
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2. Michael Schlosser
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Corresponding author

Correspondence to Frédéric Jouhet.

Additional information

Manuscript received: February 23, 2004 and, in final form, June 28, 2004.

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Jouhet, F., Schlosser, M. Another proof of Bailey’s ₆ψ₆ summation. Aequ. math. 70, 43–50 (2005). https://doi.org/10.1007/s00010-004-2748-4

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• Issue Date: September 2005

• DOI: https://doi.org/10.1007/s00010-004-2748-4

Mathematics Subject Classification (2000).

• 33D15

Keywords.

• Bilateral basic hypergeometric series
• q-series
• Bailey’s ₆ψ₆ summation
• Ramanu- jan’s ₁ψ₁ summation