Rogers’ Linearization Formula for the Continuous q-Ultraspherical Polynomials and Quadratic Transformation Formulas
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Publication:3701771
DOI10.1137/0516079zbMath0579.33002OpenAlexW1974916865MaRDI QIDQ3701771
Publication date: 1985
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0516079
Related Items (8)
Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series ⋮ Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials ⋮ Poisson kernel and multilinear generating functions of some orthogonal polynomials ⋮ Nonterminating transformations and summations associated with some \(q\)-Mellin-Barnes integrals ⋮ Well conditioned spherical polynomial systems ⋮ Quadratic Transformation Formulas for Basic Hypergeometric Series ⋮ Some formulas involving q-Jacobi and related polynomials ⋮ A q-integral representation of Rogers' q-ultraspherical polynomials and some applications
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