Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21−25, 2008, MPIM, Bonn, Germany)

The Guest Editors for this special issue are

Masatoshi Noumi (Kobe University, Japan)
Eric M. Rains (California Institute of Technology, USA)
Hjalmar Rosengren (Chalmers University of Technology and University of Gothenburg, Sweden)
Vyacheslav P. Spiridonov (Joint Institute for Nuclear Research, Dubna, Russia)

The topics include:

• elliptic completely integrable systems;
• elliptic Painlevé equation;
• elliptic hypergeometric functions;
• univariate and multivariate elliptic biorthogonal functions;
• elliptic determinants and theta functions on root systems.

Papers from the participants and from other authors whose work fits into the topics of the workshop are welcome for this issue.

How to Submit an Article to the Issue.

The length of an article is not limited.

Publication will be done only on the results of the peer review according to refereeing policy of SIGMA.

Papers in this Issue:

Monopoles and Modifications of Bundles over Elliptic Curves

Andrey M. Levin, Mikhail A. Olshanetsky and Andrei V. Zotov
SIGMA 5 (2009), 065, 22 pages   [ abs   pdf   ps ]

Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions

Fokko J. van de Bult and Eric M. Rains
SIGMA 5 (2009), 059, 31 pages   [ abs   pdf   ps ]

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

Robin Langer, Michael J. Schlosser and S. Ole Warnaar
SIGMA 5 (2009), 055, 20 pages   [ abs   pdf   ps ]

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

Yasushi Komori, Masatoshi Noumi and Jun'ichi Shiraishi
SIGMA 5 (2009), 054, 40 pages   [ abs   pdf   ps ]

Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case

Simon N.M. Ruijsenaars
SIGMA 5 (2009), 049, 21 pages   [ abs   pdf   ps ]

A Lax Formalism for the Elliptic Difference Painlevé Equation

Yasuhiko Yamada
SIGMA 5 (2009), 042, 15 pages   [ abs   pdf   ps ]

A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications

Masahiko Ito
SIGMA 5 (2009), 041, 14 pages   [ abs   pdf   ps ]

Middle Convolution and Heun's Equation

Kouichi Takemura
SIGMA 5 (2009), 040, 22 pages   [ abs   pdf   ps ]

Elliptic Hypergeometric Solutions to Elliptic Difference Equations

Alphonse P. Magnus
SIGMA 5 (2009), 038, 12 pages   [ abs   pdf   ps ]

Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾

Tetsu Masuda
SIGMA 5 (2009), 035, 30 pages   [ abs   pdf   ps ]

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

Satoshi Tsujimoto and Alexei Zhedanov
SIGMA 5 (2009), 033, 30 pages   [ abs   pdf   ps ]

Differential and Functional Identities for the Elliptic Trilogarithm

Ian A.B. Strachan
SIGMA 5 (2009), 031, 12 pages   [ abs   pdf   ps ]

Forthcoming papers: