Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Elliptic Integrable Systems, Special Functions and Quantum Field Theory

The Guest Editors for this special issue are

Martin Hallnäs (Chalmers University of Technology and University of Gothenburg, Sweden)
Masatoshi Noumi (Kobe University, Japan)
Vyacheslav P. Spiridonov (JINR, Dubna and NRU HSE, Moscow, Russia)
S. Ole Warnaar (The University of Queensland, Australia)

This issue was inspired by the Workshop Elliptic Integrable Systems, Special Functions and Quantum Field Theory (June 16–20, 2019, Nordita, Stockholm, Sweden).

The issue contains 15 papers with the total of 494 pages.

The editors of the issue would like to thank all authors for their interesting contributions and the many referees who have assisted us in getting the papers refereed in a timely manner. We would finally like to thank the workshop participants for contributing to the development of the subject.

Martin Hallnäs, Masatoshi Noumi, Vyacheslav Spiridonov and Ole Warnaar        

Papers in this Issue:

An Elliptic Hypergeometric Function Approach to Branching Rules
Chul-hee Lee, Eric M. Rains and S. Ole Warnaar
SIGMA 16 (2020), 142, 52 pages   [ abs   pdf ]
New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
Genki Shibukawa
SIGMA 16 (2020), 118, 11 pages   [ abs   pdf ]
Non-Stationary Ruijsenaars Functions for $\kappa=t^{-1/N}$ and Intertwining Operators of Ding-Iohara-Miki Algebra
Masayuki Fukuda, Yusuke Ohkubo and Jun'ichi Shiraishi
SIGMA 16 (2020), 116, 55 pages   [ abs   pdf ]
$q$-Difference Systems for the Jackson Integral of Symmetric Selberg Type
Masahiko Ito
SIGMA 16 (2020), 113, 31 pages   [ abs   pdf ]
Elliptic Double Affine Hecke Algebras
Eric M. Rains
SIGMA 16 (2020), 111, 133 pages   [ abs   pdf ]
Basic Properties of Non-Stationary Ruijsenaars Functions
Edwin Langmann, Masatoshi Noumi and Junichi Shiraishi
SIGMA 16 (2020), 105, 26 pages   [ abs   pdf ]
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain
Linnea Hietala
SIGMA 16 (2020), 101, 26 pages   [ abs   pdf ]
On Abelianity Lines in Elliptic $W$-Algebras
Jean Avan, Luc Frappat and Eric Ragoucy
SIGMA 16 (2020), 094, 18 pages   [ abs   pdf ]
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
Hjalmar Rosengren and Michael J. Schlosser
SIGMA 16 (2020), 088, 21 pages   [ abs   pdf ]
Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions
Ayumu Hoshino and Jun'ichi Shiraishi
SIGMA 16 (2020), 084, 28 pages   [ abs   pdf ]
Elliptic and $q$-Analogs of the Fibonomial Numbers
Nantel Bergeron, Cesar Ceballos and Josef Küstner
SIGMA 16 (2020), 076, 16 pages   [ abs   pdf ]
The Endless Beta Integrals
Gor A. Sarkissian and Vyacheslav P. Spiridonov
SIGMA 16 (2020), 074, 21 pages   [ abs   pdf ]
Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
Yury A. Neretin
SIGMA 16 (2020), 072, 20 pages   [ abs   pdf ]
The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian
Masatoshi Noumi, Simon Ruijsenaars and Yasuhiko Yamada
SIGMA 16 (2020), 063, 16 pages   [ abs   pdf ]
On Complex Gamma-Function Integrals
Sergey É. Derkachov and Alexander N. Manashov
SIGMA 16 (2020), 003, 20 pages   [ abs   pdf ]

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