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Properties of generalized univariate hypergeometric functions (Q2384770)

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Language	Label	Description	Also known as
English	Properties of generalized univariate hypergeometric functions	scientific article

Statements

scholarly article

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Properties of generalized univariate hypergeometric functions (English)

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Fokko J. van de Bult

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Jasper V. Stokman

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Communications in Mathematical Physics

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publication date

10 October 2007

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full work available at URL

https://arxiv.org/abs/math/0607250

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MaRDI profile type

MaRDI publication profile

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Ruijsenaars' hypergeometric function and the modular double of \(\mathcal {U}_{q}(\mathfrak {sl}_{2}(\mathbb C))\)

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Integrability of difference Calogero–Moser systems

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Contiguous relations, continued fractions and orthogonality

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The Associated Askey-Wilson Polynomials

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Fourier transforms on the quantum \(\text{SU}(1,1)\) group. (With an appendix by Mizan Rahman).

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Elliptic U(2) quantum group and elliptic hypergeometric series

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Quantum integrability of the generalized elliptic Ruijsenaars models

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Quantum zonal spherical functions and Macdonald polynomials

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Symmetry groups of Bailey's transformations for \(_{10}\phi _{9}\)-series

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Orthogonal polynomials associated with root systems

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Projection Formulas, a Reproducing Kernel and a Generating Function for <i>q</i>-Wilson Polynomials

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Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces

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Galois theory of difference equations

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An integral Representation of a <sub>10</sub><i>ϕ</i><sub>9</sub> and Continuous Bi-Orthogonal <sub>10</sub><i>ϕ</i><sub>9</sub> Rational Functions

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Limits of elliptic hypergeometric integrals

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First order analytic difference equations and integrable quantum systems

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A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type

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A generalized hypergeometric function. II: Asymptotics and \(D_4\) symmetry

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A generalized hypergeometric function. III: Associated Hilbert space transform

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On the elliptic beta function

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Short proofs of the elliptic beta integrals

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Spectral transformation chains and some new biorthogonal rational functions

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Difference Fourier transforms for nonreduced root systems

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Hyperbolic beta integrals

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Identifiers

zbMATH Open document ID

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10.1007/s00220-007-0289-0

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2384770

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