
Special Issue on Elliptic Hypergeometric Functions and Their Applications
The Guest Editors for this special issue are
Michael J. Schlosser (University of Vienna, Austria)
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 Hypergeometric
Functions in Combinatorics, Integrable Systems and Physics, held at the Erwin Schrödinger Institute for Mathematics and Physics in Vienna,
Austria, in March 20–24, 2017.
Elliptic hypergeometric functions are a relatively new class of special
functions which first appeared as solutions of the Yang–Baxter
equation. Over the last twenty years they have been shown to be related
to numerous areas of mathematics and physics, including integrable
systems, enumerative and algebraic combinatorics, and quantum field
theory. This special issue is devoted to recent developments in the
theory of elliptic hypergeometric functions and its applications. It
contains 18 original research papers with a total of 517 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.
Michael Schlosser, Vyacheslav Spiridonov and Ole Warnaar
Papers in this Issue:

Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology

Giovanni Felder, Richárd Rimányi and Alexander Varchenko
SIGMA 14 (2018), 132, 41 pages [ abs
pdf ]

Matrix Bailey Lemma and the StarTriangle Relation

Kamil Yu. Magadov and Vyacheslav P. Spiridonov
SIGMA 14 (2018), 121, 13 pages [ abs
pdf ]

Macdonald Polynomials of Type $C_n$ with OneColumn Diagrams and Deformed Catalan Numbers

Ayumu Hoshino and Jun'ichi Shiraishi
SIGMA 14 (2018), 101, 33 pages [ abs
pdf ]

Connection Formula for the Jackson Integral of Type $A_n$ and Elliptic Lagrange Interpolation

Masahiko Ito and Masatoshi Noumi
SIGMA 14 (2018), 077, 42 pages [ abs
pdf ]

The Functional Method for the DomainWall Partition Function

Jules Lamers
SIGMA 14 (2018), 064, 23 pages [ abs
pdf ]

On $q$Deformations of the Heun Equation

Kouichi Takemura
SIGMA 14 (2018), 061, 16 pages [ abs
pdf ]

The Determinant of an Elliptic Sylvesteresque Matrix

Gaurav Bhatnagar and Christian Krattenthaler
SIGMA 14 (2018), 052, 15 pages [ abs
pdf ]

The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory

Arash Arabi Ardehali
SIGMA 14 (2018), 043, 30 pages [ abs
pdf ]

Surface Defects in EString Compactifications and the van Diejen Model

Belal Nazzal and Shlomo S. Razamat
SIGMA 14 (2018), 036, 20 pages [ abs
pdf ]

Elliptically Distributed Lozenge Tilings of a Hexagon

Dan Betea
SIGMA 14 (2018), 032, 39 pages [ abs
pdf ]

${\rm SL}(2,\mathbb{C})$ Gustafson Integrals

Sergey É. Derkachov, Alexander N. Manashov and Pavel A. Valinevich
SIGMA 14 (2018), 030, 16 pages [ abs
pdf ]

Elliptic WellPoised Bailey Transforms and Lemmas on Root Systems

Gaurav Bhatnagar and Michael J. Schlosser
SIGMA 14 (2018), 025, 44 pages [ abs
pdf ]

Multivariate Quadratic Transformations and the Interpolation Kernel

Eric M. Rains
SIGMA 14 (2018), 019, 69 pages [ abs
pdf ]

Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index

Andrew P. Kels and Masahito Yamazaki
SIGMA 14 (2018), 013, 29 pages [ abs
pdf ]

Series Solutions of the NonStationary Heun Equation

Farrokh Atai and Edwin Langmann
SIGMA 14 (2018), 011, 32 pages [ abs
pdf ]

Elliptic Determinantal Processes and Elliptic Dyson Models

Makoto Katori
SIGMA 13 (2017), 079, 36 pages [ abs
pdf ]

An Elliptic Garnier System from Interpolation

Yasuhiko Yamada
SIGMA 13 (2017), 069, 8 pages [ abs
pdf ]

GustafsonRakhaType Elliptic Hypergeometric Series

Hjalmar Rosengren
SIGMA 13 (2017), 037, 11 pages [ abs
pdf ]

