racah polynomials
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2021 ◽  
Author(s):  
Nicolas Crampé ◽  
Luc Vinet ◽  
Meri Zaimi

Author(s):  
Tom H. Koornwinder

AbstractWe settle the dual addition formula for continuous q-ultraspherical polynomials as an expansion in terms of special q-Racah polynomials for which the constant term is given by the linearization formula for the continuous q-ultraspherical polynomials. In a second proof we derive the dual addition formula from the Rahman–Verma addition formula for these polynomials by using the self-duality of the polynomials. We also consider the limit case of continuous q-Hermite polynomials.


2020 ◽  
Vol 32 (1) ◽  
pp. 205-215
Author(s):  
Frédéric Chapoton

2018 ◽  
Vol 462 (1) ◽  
pp. 323-336 ◽  
Author(s):  
Jean-Michel Lemay ◽  
Luc Vinet ◽  
Alexei Zhedanov
Keyword(s):  

2018 ◽  
Vol 927 ◽  
pp. 97-123 ◽  
Author(s):  
Vincent X. Genest ◽  
Plamen Iliev ◽  
Luc Vinet

2018 ◽  
Vol 127 ◽  
pp. 320-327 ◽  
Author(s):  
Imad Batioua ◽  
Rachid Benouini ◽  
Khalid Zenkouar ◽  
Azeddine Zahi

2017 ◽  
Vol 146 (3) ◽  
pp. 1083-1096
Author(s):  
X.-S. Wang ◽  
R. Wong
Keyword(s):  

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