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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:
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Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
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Giovanni Felder, Richárd Rimányi and Alexander Varchenko
SIGMA 14 (2018), 132, 41 pages [ abs
pdf ]
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Matrix Bailey Lemma and the Star-Triangle Relation
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Kamil Yu. Magadov and Vyacheslav P. Spiridonov
SIGMA 14 (2018), 121, 13 pages [ abs
pdf ]
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Macdonald Polynomials of Type $C_n$ with One-Column Diagrams and Deformed Catalan Numbers
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Ayumu Hoshino and Jun'ichi Shiraishi
SIGMA 14 (2018), 101, 33 pages [ abs
pdf ]
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Connection Formula for the Jackson Integral of Type $A_n$ and Elliptic Lagrange Interpolation
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Masahiko Ito and Masatoshi Noumi
SIGMA 14 (2018), 077, 42 pages [ abs
pdf ]
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The Functional Method for the Domain-Wall Partition Function
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Jules Lamers
SIGMA 14 (2018), 064, 23 pages [ abs
pdf ]
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On $q$-Deformations of the Heun Equation
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Kouichi Takemura
SIGMA 14 (2018), 061, 16 pages [ abs
pdf ]
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The Determinant of an Elliptic Sylvesteresque Matrix
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Gaurav Bhatnagar and Christian Krattenthaler
SIGMA 14 (2018), 052, 15 pages [ abs
pdf ]
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The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory
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Arash Arabi Ardehali
SIGMA 14 (2018), 043, 30 pages [ abs
pdf ]
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Surface Defects in E-String Compactifications and the van Diejen Model
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Belal Nazzal and Shlomo S. Razamat
SIGMA 14 (2018), 036, 20 pages [ abs
pdf ]
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Elliptically Distributed Lozenge Tilings of a Hexagon
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Dan Betea
SIGMA 14 (2018), 032, 39 pages [ abs
pdf ]
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${\rm SL}(2,\mathbb{C})$ Gustafson Integrals
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Sergey É. Derkachov, Alexander N. Manashov and Pavel A. Valinevich
SIGMA 14 (2018), 030, 16 pages [ abs
pdf ]
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Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems
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Gaurav Bhatnagar and Michael J. Schlosser
SIGMA 14 (2018), 025, 44 pages [ abs
pdf ]
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Multivariate Quadratic Transformations and the Interpolation Kernel
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Eric M. Rains
SIGMA 14 (2018), 019, 69 pages [ abs
pdf ]
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Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index
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Andrew P. Kels and Masahito Yamazaki
SIGMA 14 (2018), 013, 29 pages [ abs
pdf ]
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Series Solutions of the Non-Stationary Heun Equation
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Farrokh Atai and Edwin Langmann
SIGMA 14 (2018), 011, 32 pages [ abs
pdf ]
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Elliptic Determinantal Processes and Elliptic Dyson Models
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Makoto Katori
SIGMA 13 (2017), 079, 36 pages [ abs
pdf ]
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An Elliptic Garnier System from Interpolation
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Yasuhiko Yamada
SIGMA 13 (2017), 069, 8 pages [ abs
pdf ]
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Gustafson-Rakha-Type Elliptic Hypergeometric Series
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Hjalmar Rosengren
SIGMA 13 (2017), 037, 11 pages [ abs
pdf ]
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