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Cortical Zinc Signaling Is Necessary for Changes in Mouse Pupil Diameter That Are Evoked by Background Sounds with Different Contrasts. [PDF]
J NeurosciCody P, Kumar M, Tzounopoulos T.
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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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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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Two Families of Associated Wilson Polynomials
Canadian Journal of Mathematics, 1990AbstractTwo families of associated Wilson polynomials are introduced. Both families are birth and death process polynomials, satisfying the same recurrence relation but having different initial conditions. Contiguous relations for generalized hypergeometric functions of the type 7F6 are derived and used to find explicit representations for the ...
M. E. H. Ismail +3 more
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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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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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On the Askey-Wilson and Rogers Polynomials
Canadian Journal of Mathematics, 1988The q-shifted factorial (a)n or (a; q)n isand an empty product is interpreted as 1. Recently, Askey and Wilson [6] introduced the polynomials1.1where1.2and1.3We shall refer to these polynomials as the Askey-Wilson polynomials or the orthogonal 4ϕ3 polynomials. They generalize the 6 — j symbols and are the most general classical orthogonal polynomials, [
Ismail, Mourad E. H., Stanton, Dennis
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