Partial sums of Bailey's6ψ6-series to faster convergent series
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Publication:3225499
DOI10.1080/10236190903460388zbMath1255.33008OpenAlexW2109228662MaRDI QIDQ3225499
Publication date: 21 March 2012
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190903460388
basic hypergeometric seriessummation by partsAbel's lemmaRogers-Fine identityBailey's well-poised \({}_6\psi_6\)-series identity
Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Related Items (3)
A common recursive formula for Ramanujan’s ₁𝜓₁ and Bailey’s very-well-poised ₆𝜓₆ summation formulas ⋮ \(q\)-extensions of Dougall's bilateral \(_2H_2\)-series ⋮ q-Analogues of Guillera’s two series for π±2 with convergence rate 27 64
Cites Work
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- An expansion formula for \(q\)-series and applications
- Abel's lemma on summation by parts and basic hypergeometric series
- Bailey's very well-poised \(_6\psi_6\)-series identity
- Abel's lemma on summation by parts and Ramanujan's \(_1\psi_1\)-series identity
- Two theorems of Gauss and allied identities proved arithmetically
- A FINE DREAM
- SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
- Transformations of Basic Hypergeometric Functions of Special Type
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