Liquid-vapor equilibrium and evaporation rate of Cd-Zn liquid alloy [PDF]
Journal of Mining and Metallurgy. Section B: Metallurgy, 2021 In this study, LVE (liquid-vapor equilibrium) data of cadmium-zinc system were determined at a pressure of 7.5 Pa. We compare the use of the Redlich-Kister polynomials with the Wilson equation in fitting activities.
Zhao W.-C., Xu B.-Q., Yang H.-W.
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Correction To: Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials
Letters in Mathematical Physics, 2023 (1.1) Here CN := ∫ HN (I ) exp tr V (X)dX and V = V (x) is a smooth function of x ∈ I ◦ (the interior of I ) so that V (X) is defined for all X ∈ HN (I ) by the spectral theorem. We assume that V satisfies the following decay assumptions: there exists ε >
Massimo Gisonni, T. Grava, Giulio Ruzza
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Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 The q-difference equation, the shift and the contiguity relations of the Askey–Wilson polynomials are cast in the framework of the three and four-dimensional degenerate Sklyanin algebras ska3 and ska4 .
J. Gaboriaud +3 more
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Expansions in Askey–Wilson polynomials via Bailey transform
Journal of Mathematical Analysis and Applications, 2017 Jiang Zeng
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A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials [PDF]
International mathematics research notices, 2018 We study matrix elements of a change of basis between two different bases of representations of the quantum algebra ${\mathcal{U}}_q(\mathfrak{s}\mathfrak{u}(1,1))$.
Wolter G. M. Groenevelt
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Askey–Wilson polynomials and a double $q$-series transformation formula with twelve parameters [PDF]
Proceedings of the American Mathematical Society, 2018 The Askey--Wilson polynomials are the most general classical orthogonal polynomials that are known and the Nassrallah--Rahman integral is a very general extension of Euler's integral representation of the classical $_2F_1$ function. Based on a $q$-series
Zhi-Guo Liu
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The rational Sklyanin algebra and the Wilson and para-Racah polynomials [PDF]
Journal of Mathematics and Physics, 2021 The relation between Wilson and para-Racah polynomials and representations of the degenerate rational Sklyanin algebra is established. Second-order Heun operators on quadratic grids with no diagonal terms are determined. These special or S-Heun operators
G. Bergeron +3 more
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Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials [PDF]
, 2009 Two sets of infinitely many exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials are presented. They are derived as the eigenfunctions of shape invariant and thus exactly solvable quantum mechanical Hamiltonians, which ...
Alberto Grünbaum +35 more
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Defect and degree of the Alexander polynomial
European Physical Journal C: Particles and Fields, 2022 Defect characterizes the depth of factorization of terms in differential (cyclotomic) expansions of knot polynomials, i.e. of the non-perturbative Wilson averages in the Chern-Simons theory.
E. Lanina, A. Morozov
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Properties of the є-expansion, Lagrange inversion and associahedra and the O (1) model
Journal of High Energy Physics, 2020 We discuss properties of the є-expansion in d = 4 − є dimensions. Using Lagrange inversion we write down an exact expression for the value of the Wilson-Fisher fixed point coupling order by order in є in terms of the beta function coefficients.
Thomas A. Ryttov
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