
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, Russia)
S. Ole Warnaar (University of Queensland, Australia)
Topics for this special issue will include:
 general theory of elliptic hypergeometric functions;
 univariate and multivariate elliptic hypergeometric (bi)orthogonal functions;
 combinatorics of elliptic hypergeometric functions and applications in probability theory;
 elliptic determinants and theta functions on root systems;
 elliptic integrable systems, elliptic Painlevé equations and isomonodromy problems;
 elliptic hypergeometric integrals and superconformal indices in quantum field theory;
 applications in quantum mechanics and statistical mechanics.
This issue is partially related to the Workshop Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics at the Erwin Schrödinger Institute for Mathematics and Physics
in Vienna, Austria, in March 20–24, 2017.
Workshop participants and others whose work is concerned with the above topics are invited to submit papers to the special issue. For this issue, both original research articles and review papers are welcome.
There are no paper length limits to the submitted works. Deadline for the submission is January 31, 2018.
All articles will go through the standard peer reviewing procedure of SIGMA.
Papers in this Issue:

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 ]

