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Vector AutoRegressive Moving Average Models: A Review. [PDF]
Wiley Interdiscip Rev Comput StatDüker MC +3 more
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Interpretable Cognitive Ability Prediction: A Comprehensive Gated Graph Transformer Framework for Analyzing Functional Brain Networks. [PDF]
IEEE Trans Med ImagingQu G +9 more
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Living with the past: larval eastern oyster (<i>Crassostrea virginica</i>) culture salinity affects post-metamorphic physiological performance. [PDF]
Conserv PhysiolFuqua E, Brooke S.
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Bispectral commutative difference operators for some multivariable Askey-Wilson polynomials
, 2008 Plamen Iliev
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Multivariable Wilson polynomials
Journal of Mathematical Physics, 1989A multivariable biorthogonal generalization of the Wilson polynomials is presented. These are four distinct families, which in a special case occur in two complex conjugate pairs, that satisfy four biorthogonality relations among them. An interesting limit case is the multivariable continuous dual Hahn polynomials.
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Constructive Approximation, 1991
The Wilson polynomials appear on top of the Askey table of hypergeometric orthogonal polynomials and thus are, together with the Racah polynomials, the most general system of hypergeometric orthogonal polynomials. They can be written as an hypergeometric \(_ 4F_ 3(1)\) in which the variable \(x\) appears in two of the numerator parameters as the ...
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The Wilson polynomials appear on top of the Askey table of hypergeometric orthogonal polynomials and thus are, together with the Racah polynomials, the most general system of hypergeometric orthogonal polynomials. They can be written as an hypergeometric \(_ 4F_ 3(1)\) in which the variable \(x\) appears in two of the numerator parameters as the ...
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SIAM Journal on Mathematical Analysis, 1987
Local symmetry (recurrence relation) techniques are a powerful tool for the efficient derivation of properties associated with families of hypergeometric and basic hypergeometric functions. Here these ideas are applied to the Wilson polynomials, a generalization of the classical orthogonal polynomials, to obtain the orthogonality relations and an ...
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Local symmetry (recurrence relation) techniques are a powerful tool for the efficient derivation of properties associated with families of hypergeometric and basic hypergeometric functions. Here these ideas are applied to the Wilson polynomials, a generalization of the classical orthogonal polynomials, to obtain the orthogonality relations and an ...
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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 ...
Atakishiev, N. M., Suslov, S. K.
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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. Infinite asymptotic expansions are derived for these polynomials in various cases, for instance, (i) when the variable ...
Li, Yu-Tian +2 more
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?Hidden symmetry? of Askey-Wilson polynomials
Theoretical and Mathematical Physics, 1991See the review in Zbl 0744.33009.
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