TERMINATING ALMOST POISED <i>q</i>-DIXON SUMS
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Publication:6091038
DOI10.2206/kyushujm.77.131OpenAlexW4387656398MaRDI QIDQ6091038
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Publication date: 23 November 2023
Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2206/kyushujm.77.131
linearization methodbasic hypergeometric serieswell-poised seriesalmost poised \(q\)-seriesCarlitz-Sears transformation
(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Cites Work
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- Summation formulae for a class of terminating balanced \(q\)-series
- Bilateral inversions and terminating basic hypergeometric series identities
- Almost poised basic hypergeometric series
- Some formulas of F. H. Jackson
- Abel's method on summation by parts and terminating well-poised \(q\)-series identities
- Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
- Terminating ₂𝐹₁(4)-series perturbed by two integer parameters
- Some Summation Formulae for Nonterminating Basic Hypergeometric Series
- Basic almost-poised hypergeometric series
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- Terminating balanced $_4\phi _3$-series with two integer parameters
- Terminating4F3-series extended with two integer parameters
- ON THE ANALOGUE OF DIXON'S THEOREM FOR BILATERAL BASIC HYPERGEOMETRIC SERIES
- Transformations of Basic Hypergeometric Functions of Special Type
- A NOTE ON CERTAIN q-IDENTITIES
- CERTAIN q-IDENTITIES
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