Series solutions of the non-stationary Heun equation
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Publication:1743721
DOI10.3842/SIGMA.2018.011zbMath1387.33030arXiv1609.02525OpenAlexW2520626889MaRDI QIDQ1743721
Publication date: 16 April 2018
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.02525
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Other functions defined by series and integrals (33E20) Functional identities (associative rings and algebras) (16R60)
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Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra ⋮ Basic properties of non-stationary Ruijsenaars functions ⋮ Source identities and kernel functions for the deformed Koornwinder-van Diejen models
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Cites Work
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- Givental \(J\)-functions, quantum integrable systems, AGT relation with surface operator
- Source identity and kernel functions for elliptic Calogero-Sutherland type systems
- Special polynomials related to the supersymmetric eight-vertex model: a summary
- A unified construction of generalized classical polynomials associated with operators of Calogero-Sutherland type
- Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case
- Kernel functions for difference operators of Ruijsenaars type and their applications
- Integral transformation of solutions for a Fuchsian-class equation corresponding to the Okamoto transformation of the Painlevé VI equation
- Integral relations for Heun-class special functions
- Representations of affine Lie algebras, parabolic differential equations, and Lamé functions
- Unitarity of the Knizhnik-Zamolodchikov-Bernard connection and the Bethe Ansatz for the elliptic Hitchin systems
- Calogero operator and Lie superalgebras
- NIST digital library of mathematical functions
- Lax representation with spectral parameter on a torus for integrable particle systems
- The perturbation of the quantum Calogero-Moser-Sutherland system and related results
- Spherical functions on affine Lie groups
- Explicit solution of the (quantum) elliptic Calogero-Sutherland model
- Singular eigenfunctions of Calogero-Sutherland type systems and how to transform them into regular ones
- The Heun equation and the Calogero-Moser-Sutherland system. IV: The Hermite-Krichever ansatz
- Algorithms to solve the (quantum) Sutherland model
- On elliptic algebras and large-n supersymmetric gauge theories
- Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations
- Source identity and kernel functions for Inozemtsev-type systems
- Quantization of Integrable Systems and Four Dimensional Gauge Theories
- The 192 solutions of the Heun equation
- Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model
- A Recursive Construction of Joint Eigenfunctions for the Hyperbolic Nonrelativistic Calogero-Moser Hamiltonians
- Radial Part Calculations for $\widehat {\mathfrak {sl}}_2$ and the Heun-KZB Heat Equation
- A differential equation for a four-point correlation function in Liouville field theory and elliptic four-point conformal blocks
- New integrable generalizations of Calogero–Moser quantum problem
- Special functions, conformal blocks, Bethe ansatz and SL(3, Z)
- Eight-vertex model and non-stationary Lamé equation
- SOME DIFFERENTIAL EQUATIONS AND ASSOCIATED INTEGRAL EQUATIONS
- INTEGRAL EQUATIONS FOR HEUN FUNCTIONS
- Anyons and the elliptic Calogero-Sutherland model
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