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

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.

Submission Rules for Articles to the Issue.

All articles will go through the standard peer reviewing procedure of SIGMA.

The papers can be submitted at any time after the announcement of this issue, i.e. if you have your paper ready, you can submit it and the reviewing process starts immediately. The papers will be published as soon as the positive publication decision is made. Each contribution will be indexed in the relevant databases as soon as it is published without waiting for completion of the whole special issue.

Papers in this Issue:

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 ]
Gustafson-Rakha-Type Elliptic Hypergeometric Series
Hjalmar Rosengren
SIGMA 13 (2017), 037, 11 pages   [ abs   pdf ]

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