
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

Chulhee 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 ]

NonStationary Ruijsenaars Functions for $\kappa=t^{1/N}$ and Intertwining Operators of DingIoharaMiki 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 NonStationary 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 ]

BarnesIsmagilov 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 8Coupling Elliptic Hamiltonian

Masatoshi Noumi, Simon Ruijsenaars and Yasuhiko Yamada
SIGMA 16 (2020), 063, 16 pages [ abs
pdf ]

On Complex GammaFunction Integrals

Sergey É. Derkachov and Alexander N. Manashov
SIGMA 16 (2020), 003, 20 pages [ abs
pdf ]
