Symmetry of terminating series representations of the Askey-Wilson polynomials [PDF]
, 2022 Howard S. Cohl, Roberto S. Costas-Santos
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Symmetry of terminating basic hypergeometric series representations of the Askey–Wilson polynomials
Journal of Mathematical Analysis and Applications, 2022 H. Cohl, R. S. Costas-Santos
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Solutions to the associated q-Askey-Wilson polynomial recurrence relation [PDF]
, 1993 Dharma P. Gupta, David R. Masson
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A "missing" family of classical orthogonal polynomials
, 2011 We study a family of "classical" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl-type.
Alexei Zhedanov +15 more
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Convolutions for orthogonal polynomials from Lie and quantum algebra representations
, 1996 The interpretation of the Meixner-Pollaczek, Meixner and Laguerre polynomials as overlap coefficients in the positive discrete series representations of the Lie algebra su(1,1) and the Clebsch-Gordan decomposition leads to generalisations of the ...
Koelink, H. T., Van der Jeugt, J.
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A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials [PDF]
, 2015 Victor J. W. Guo +3 more
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Harmonic analysis on the SU(2) dynamical quantum group
, 2001 Dynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework for studying the dynamical Yang-Baxter equation, which is precisely the Yang-Baxter equation satisfied by 6j-symbols.
Koelink, Erik, Rosengren, Hjalmar
core
The Combinatorics of q-Hermite polynomials and the Askey—Wilson Integral
European Journal of Combinatorics, 1987 A combinatorial proof of \[ I=\frac{(q)_{\infty}}{2\pi}\int^{\pi}_{0}w(\cos \theta,a,b,c,d| q)d\theta = \frac{(abcd)_{\infty}}{(ab)_{\infty}(ac)_{\infty}(ad)_{\infty}(bc) _{\infty}(bd)_{U}(cd)_{\infty}}, \] where \[ w(\cos \theta,a,b,c,d| q)\quad = \] \[ =\quad \frac{(e^{2i\theta})_{\infty}(e^{- 2i\theta})_{\infty}}{(ae^{i\theta})_{\infty}(ae^{-i\quad \
Ismail, Mourad E.H. +2 more
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Some orthogonal very-well-poised $_8\varphi_7$-functions that generalize Askey-Wilson polynomials [PDF]
, 1997 Sergeĭ K. Suslov
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FCAA Special 2020 Conferences' Issue (FCAA-Volume 23-6-2020). [PDF]
Fract Calc Appl Anal, 2020 Kiryakova V.
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