An extension of the non-terminating6φ5summation and the Askey–Wilson polynomials
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Publication:3093751
DOI10.1080/10236190903530735zbMath1229.05043OpenAlexW2077668172MaRDI QIDQ3093751
Publication date: 18 October 2011
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190903530735
\(q\)-derivative\(q\)-series\(q\)-difference equation\(q\)-exponential operator\(_6\phi _5\) summationAskey-Wilson's polynomials
(q)-calculus and related topics (05A30) Sums of squares and representations by other particular quadratic forms (11E25) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
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Cites Work
- \(q\)-derivative operators and basic hypergeometric series
- Parameter augmentation for basic hypergeometric series. II
- Some operator identities and \(q\)-series transformation formulas
- An expansion formula for \(q\)-series and applications
- Applications of Basic Hypergeometric Functions
- Some Summation Theorems and Transformations for Q-Series
