Approach of \(q\)-derivative operators to terminating \(q\)-series formulae
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Publication:2416898
DOI10.2478/CM-2018-0007zbMath1412.33015OpenAlexW2909852112MaRDI QIDQ2416898
Publication date: 24 May 2019
Published in: Communications in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/cm-2018-0007
well-poised seriesPfaff-Saalschütz summation theoremterminating \(q\)-seriesbalanced seriesGasper's \(q\)-Karlsson-Minton formulathe \(q\)-derivative operator
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Cites Work
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- \(q\)-derivative operators and basic hypergeometric series
- Elementary proofs for convolution identities of Abel and Hagen-Rothe
- Bilateral inversions and terminating basic hypergeometric series identities
- Almost poised basic hypergeometric series
- NIST digital library of mathematical functions
- An expansion formula for \(q\)-series and applications
- Pfaff's method. II: Diverse applications
- Some formulas of F. H. Jackson
- Some Generalizations of Vandermonde's Convolution
- On Quadratic Transformations of Basic Series
- Divided differences and generalized Taylor series
- Applications of q-Lagrange Inversion to Basic Hypergeometric Series
- Some Summation Formulae for Nonterminating Basic Hypergeometric Series
- Summation Formulas for Basic Hypergeometric Series
- On q-Analogues of the Watson and Whipple Summations
- Basic almost-poised hypergeometric series
- Partial fractions and bilateral summations
- Abel’s method on summation by parts and balanced q-series identities
- Generalized Hypergeometric Function of Unit Argument
- Hypergeometric Functions with Integral Parameter Differences
- ON THE ANALOGUE OF DIXON'S THEOREM FOR BILATERAL BASIC HYPERGEOMETRIC SERIES
- A NOTE ON CERTAIN q-IDENTITIES
- CERTAIN q-IDENTITIES
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