Results 51 to 60 of about 3,132,788 (112)

On the Higher-Rank Askey-Wilson Algebras [PDF]

In the paper, the algebra (), which is generated by an upper triangular generating matrix with triple relations, is introduced. It is shown that there exists an isomorphism between the algebra () and the higher-rank Askey-Wilson algebra () introduced by ...
Wang, Wanxia, Yang, Shilin
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A generalization of the Askey-Wilson relations using a projective geometry

Journal of Algebraic Combinatorics
In this paper, we present a generalization of the Askey-Wilson relations that involves a projective geometry. A projective geometry is defined as follows. Let $h>k\geq 1$ denote integers. Let $\mathbb{F}_{q}$ denote a finite field with $q$ elements. Let $\mathcal{V}$ denote an $(h+k)$-dimensional vector space over $\mathbb{F}_{q}$.
openaire   +2 more sources

Nevanlinna theory of the Askey–Wilson divided difference operator

, 2018
This paper establishes a version of Nevanlinna theory based on Askey–Wilson divided difference operator for meromorphic functions of finite logarithmic order in the complex plane C.
Chiang, Yik Man, Shaoji Feng, Yik-Man Chiang, Feng, Shaoji   +3 more
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The Askey–Wilson Integral and Extensions

, 2023
By means of the q-derivative operator method, we review the q-beta integrals of Askey–Wilson and Nassrallah–Rahman. More integrals are evaluated by the author, making use of Bailey’s identity of well-poised bilateral 6ψ6-series as well as the extended ...
Wenchang Chu
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FRT presentation of classical Askey–Wilson algebras

, 2019
International audienceAutomorphisms of the infinite dimensional Onsager algebra are introduced. Certain quotients of the Onsager algebra are formulated using a polynomial in these automorphisms.
Baseilhac, Pascal, Crampé, Nicolas
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Temperley–Lieb, Birman–Murakami–Wenzl and Askey–Wilson Algebras and Other Centralizers of $U_q(\mathfrak {sl}_2)$

, 2021
International audienceThe centralizer of the image of the diagonal embedding of $U_q(\mathfrak {sl}_2)$ in the tensor product of three irreducible representations is examined in a Schur–Weyl duality spirit.
Zaimi, Meri, Crampé, Nicolas, Vinet, Luc, Nicolas Crampé, Meri Zaimi, Luc Vinet   +5 more
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Connection relations and characterizations of orthogonal polynomials

, 2012
We give a general method of characterizing symmetric orthogonal polynomials through a certain type of connection relations. This method is applied to Al-Salam–Chihara, Askey–Wilson, and Meixner–Pollaczek polynomials.
Plamen Simeonov, Ismail, Mourad E.H., Mourad E.H. Ismail, Simeonov, Plamen   +3 more
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A Ramanujan-type measure for the Askey-Wilson polynomials [PDF]

, 1995
A Ramanujan-type representation for the Askey-Wilson q-beta integral, admitting the transformation q to q(exp -1), is obtained. Orthogonality of the Askey-Wilson polynomials with respect to a measure, entering into this representation, is proved.
Atakishiyev, Natig M.
core  

Exceptional 𝑞-Askey-Wilson polynomials and continued fractions

, 1991
Two linearly independent solutions of the three-term recurrence relation for the q q -Askey-Wilson polynomials are obtained for the special cases a b c d = q m
Dharma P. Gupta, David R. Masson
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Expansions in Askey-Wilson polynomials via Bailey transform

, 2017
International audienceWe prove a general expansion formula in Askey-Wilson polynomials using Bailey transform and Bressoud inversion. As applications, we give new proofs and generalizations of some recent results of Ismail-Stanton and Liu.
Zeng, Jiang, Zeya Jia, Jiang Zeng, Jia, Zeya   +3 more
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