A simple proof of Bailey’s very-well-poised ₆𝜓₆ summation
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Publication:2781259
DOI10.1090/S0002-9939-01-06175-5zbMath1002.33009arXivmath/0007046MaRDI QIDQ2781259
Publication date: 19 March 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0007046
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Cites Work
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- On Zeilberger's algorithm and its \(q\)-analogue
- Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
- On certain multiple Bailey, Rogers and Dougall type summation formulas
- Elementary derivations of identities for bilateral basic hypergeometric series
- Summation theorems for multidimensional basic hypergeometric series by determinant evaluations
- Applications of Basic Hypergeometric Functions
- Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum
- The Very Well Poised 6 ψ 6
- The very well Poised 6 ψ 6 . II
- SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
- Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
- On Lerch's Transcendant and the Basic Bilateral Hypergeometric Series 2 ψ2
- ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES 2ψ2
- GENERAL TRANSFORMATIONS OF BILATERAL SERIES