Results 201 to 210 of about 3,786,908 (243)
On the Classification of Bosonic and Fermionic One-Form Symmetries in 2 + 1 d and 't Hooft Anomaly Matching. [PDF]
Balasubramanian M +2 more
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Teres minor circle and subscapularis lengthening patterns during forward elevation in lateralized reverse total shoulder arthroplasty. [PDF]
Lante E, Blakeney WG, Bauer S.
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The daily auditory environments of people with tinnitus. [PDF]
Skoe E +10 more
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Expansions in the Askey–Wilson polynomials
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Mourad E H Ismail, Dennis Stanton
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On a conjecture involving Askey–Wilson polynomials
Integral Transforms and Special FunctionsThe following relation holds: $$\begin{align*} & \left(\left(\frac{q^{1/2} +q^{-1/2}}{2}\right) ^2-1\right)^2\left(x^2 -\left(\frac{q^{1/2} +q^{-1/2}}{2}\right) ^2\right)\notag\\ & \quad (1-x^2)\, \mathcal{D}_q^2\, P_n(x;1,q^{1/2}, 0, 0\,|\, q ...
K Castillo, D Mbouna
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Asymptotics of the Wilson polynomials
Analysis and Applications, 2019In this paper, we study the asymptotic behavior of the Wilson polynomials [Formula: see text] as their degree tends to infinity. These polynomials lie on the top level of the Askey scheme of hypergeometric orthogonal polynomials.
Yutian Li, Xiang-Sheng Wang, R. Wong
semanticscholar +3 more sources
Bootstrapping and Askey–Wilson polynomials
The mixed moments for the Askey-Wilson polynomials are found using a bootstrapping method and connection coefficients. A similar bootstrapping idea on generating functions gives a new Askey-Wilson generating function. An important special case of this hierarchy is a polynomial which satisfies a four term recurrence, and its combinatorics is studied.
Jang Soo Kim, Dennis Stanton
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New recurrence relations for Wilson polynomials via a system of Jacobi type orthogonal functions
Journal of Mathematical Analysis and Applications, 2021In this paper, we will find an orthogonal basis in term of explicit Jacobi polynomials, of the corresponding weighted L 2 -space on the whole of the real numbers, which is mapped onto another orthogonal basis involving Wilson polynomials by the Jacobi ...
N. Abdallah, F. Chouchene
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On the Askey-Wilson polynomials
Constructive Approximation, 1992Classical orthogonal polynomials of a discrete variable on non-uniform lattices were introduced by \textit{R. Askey} and \textit{J. A. Wilson} [SIAM J. Math. Anal. 10, 1008-1016 (1979; Zbl 0437.33014)], and \textit{J. A. Wilson} [ibid. 11, 690-701 (1980; Zbl 0454.33007)] and their main properties were established on the basis of the theory of ...
N M Atakishiyev, S K Suslov
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