scientific article

zbMath0576.33001MaRDI QIDQ3697365

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Publication date: 1985

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zbMATH Keywords

spherical harmonicsClebsch-Gordan coefficientsHahn polynomials6j-symbolsRacah polynomialsvariableKrawchuk polynomialsclassical orthogonal polynomials of discretedifference equations of hypergeometric typerepresentation of SO(3)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to special functions (33-01)

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A method for approximating one-dimensional functions ⋮ The quantum \(q\)-Krawtchouk and \(q\)-Meixner polynomials and their related \(D\)-functions for the quantum groups \(SU_{q}\)(2) and \(SU_{q}\)(1,1). ⋮ On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical case ⋮ Difference inequalities and barycentric identities for classical discrete iterated weights ⋮ Estimate of the Lebesgue function of Fourier sums in terms of modified Meixner polynomials ⋮ The bead model and limit behaviors of dimer models ⋮ Non-intersecting, simple, symmetric random walks and the extended Hahn kernel.

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