Partial sums of Bailey's6ψ6-series to faster convergent series

DOI10.1080/10236190903460388zbMath1255.33008OpenAlexW2109228662MaRDI QIDQ3225499

Wenlong Zhang, Chu, Wenchang

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

zbMATH Keywords

basic hypergeometric seriessummation by partsAbel's lemmaRogers-Fine identityBailey's well-poised \({}_6\psi_6\)-series identity

Mathematics Subject Classification ID

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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