Reduction and summation formulae for semi-terminating \(q\)-Kampé de Fériet series
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Publication:467930
DOI10.1007/s13370-012-0085-7zbMath1301.33020OpenAlexW2043869306MaRDI QIDQ467930
Publication date: 5 November 2014
Published in: Afrika Matematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13370-012-0085-7
basic hypergeometric series\(q\)-Kampé de Fériet series\(q\)-Pfaff-Saalschütz summation theoremSears transformationWatson's \(q\)-Whipple transformation
Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Cites Work
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- Some reducible generalized Kampé de Fériet functions
- Reduction and transformation formulae for bivariate basic hypergeometric series
- Transformation and reduction formulae for double \(q\)-Clausen series of type \(\Phi_{1:1;\mu}^{1:2;\lambda}\)
- Bivariate classical and \(q\)-series transformations
- Some expansions involving basic hypergeometric functions of two variables
- Transformation and summation formulas for double hypergeometric series
- Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampé de Fériet functions
- Some formulae for double Clausenian functions
- Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\)
- Transformation formulas for double hypergeometric series related to 9-j coefficients and their basic analogs
- Transformation and reduction formulae for doubleq-Clausen hypergeometric series
- TRANSFORMATION AND REDUCTION FORMULAE FOR DOUBLE q-SERIES OF TYPE Φ2:1;λ2:0;μ
- Two hypergeometric summation formulae related to 9-j coefficients
- A Saalschützian Theorem for Double Series
- Saalschützian Theorems for Basic Double Series
- Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group
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