Results 61 to 70 of about 901,840 (78)

Some generating functions for the associated Askey-Wilson polynomials [PDF]

Journal of Computational and Applied Mathematics, 1996
An integral representation is obtained for one family of associated Askey-Wilson polynomials in terms of the ordinary Askey-wilson polynomials.
Mizan Rahman
exaly   +2 more sources

Casoratian identities for the Wilson and Askey–Wilson polynomials [PDF]

Journal of Approximation Theory, 2015
Infinitely many Casoratian identities are derived for the Wilson and Askey–Wilson polynomials in parallel to the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials, which were reported recently by the present authors.
Satoru Odake, Ryu Sasaki
exaly   +2 more sources

On the generalized Askey–Wilson polynomials [PDF]

Journal of Approximation Theory, 2013
In this paper a generalization of Askey-Wilson polynomials is introduced. These polynomials are obtained from the Askey-Wilson polynomials via the addition of two mass points to the weight function of them at the points ±1.
Renato Álvarez-Nodarse
exaly   +2 more sources

Expansions in Askey–Wilson polynomials via Bailey transform

Journal of Mathematical Analysis and Applications, 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.
Jiang Zeng
exaly   +2 more sources

On the structure and probabilistic interpretation of Askey–Wilson densities and polynomials with complex parameters [PDF]

Journal of Functional Analysis, 2011
We give equivalent forms of the Askey–Wilson polynomials expressing them with the help of the Al-Salam–Chihara polynomials. After restricting parameters of the Askey–Wilson polynomials to complex conjugate pairs we expand the Askey–Wilson weight function
Paweł J Szabłowski
exaly   +2 more sources

On Another Characterization of Askey-Wilson Polynomials

Results in Mathematics, 2022
In this paper we show that the only sequences of orthogonal polynomials $(P_n)_{n\geq 0}$ satisfying \begin{align*} \phi(x)\mathcal{D}_q P_{n}(x)=a_n\mathcal{S}_q P_{n+1}(x) +b_n\mathcal{S}_q P_n(x) +c_n\mathcal{S}_q P_{n-1}(x), \end{align*} ($c_n\neq 0$)
Dieudonne Mbouna
exaly   +1 more source

The factorization method for the Askey–Wilson polynomials [PDF]

Journal of Computational and Applied Mathematics, 1999
A special Infeld-Hull factorization is given for the Askey-Wilson second order q-difference operator. It is then shown how to deduce a generalization of the corresponding Askey-Wilson polynomials. (C) 1999 Elsevier Science B.V.
Bangerezako, G, Gaspard Bangerezako, Bangerezako, Gaspard   +2 more
exaly   +2 more sources

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Remarks on Askey–Wilson polynomials and Meixner polynomials of the second kind

Ramanujan Journal, 2021
Dieudonne Mbouna, J Petronilho, Kenier Castillo   +2 more
exaly  

On the Askey-Wilson polynomials

Constructive Approximation, 1992
S K Suslov
exaly  

Bootstrapping and Askey–Wilson polynomials

Journal of Mathematical Analysis and Applications, 2015
Jang Soo Kim, Dennis Stanton
exaly