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.

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 ]