Determinants of elliptic hypergeometric integrals

E. M. Rains; V. P. Spiridonov

doi:10.1007/s10688-009-0037-7

Determinants of elliptic hypergeometric integrals

Functional Analysis and Its Applications ◽

10.1007/s10688-009-0037-7 ◽

2009 ◽

Vol 43 (4) ◽

pp. 297-311 ◽

Cited By ~ 6

Author(s):

E. M. Rains ◽

V. P. Spiridonov

Keyword(s):

Hypergeometric Integrals ◽

Elliptic Hypergeometric Integrals

Limits of elliptic hypergeometric integrals

The Ramanujan Journal ◽

10.1007/s11139-007-9055-3 ◽

2007 ◽

Vol 18 (3) ◽

pp. 257-306 ◽

Cited By ~ 18

Author(s):

Eric M. Rains

Keyword(s):

Hypergeometric Integrals ◽

Elliptic Hypergeometric Integrals

An Elliptic Hypergeometric Function Approach to Branching Rules

Symmetry Integrability and Geometry Methods and Applications ◽

10.3842/sigma.2020.142 ◽

2020 ◽

Author(s):

Chul-hee Lee ◽

◽

Eric M. Rains ◽

S. Ole Warnaar ◽

◽

...

Keyword(s):

Hypergeometric Function ◽

Function Approach ◽

Hypergeometric Integrals ◽

Branching Rules ◽

Elliptic Hypergeometric Function ◽

Elliptic Hypergeometric Integrals

We prove Macdonald-type deformations of a number of well-known classical branching rules by employing identities for elliptic hypergeometric integrals and series. We also propose some conjectural branching rules and allied conjectures exhibiting a novel type of vanishing behaviour involving partitions with empty 2-cores.

Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions

Journal of High Energy Physics ◽

10.1007/jhep06(2012)016 ◽

2012 ◽

Vol 2012 (6) ◽

Cited By ~ 33

Author(s):

V. P. Spiridonov ◽

G. S. Vartanov

Keyword(s):

Matching Conditions ◽

Hypergeometric Integrals ◽

Elliptic Hypergeometric Integrals

Introduction to the Theory of Elliptic Hypergeometric Integrals

Partition Functions and Automorphic Forms - Moscow Lectures ◽

10.1007/978-3-030-42400-8_6 ◽

2020 ◽

pp. 271-318

Author(s):

Vyacheslav P. Spiridonov

Keyword(s):

Hypergeometric Integrals ◽

Elliptic Hypergeometric Integrals

A determinant formula associated with the elliptic hypergeometric integrals of type BCn

Journal of Mathematical Physics ◽

10.1063/1.5094116 ◽

2019 ◽

Vol 60 (7) ◽

pp. 071705 ◽

Cited By ~ 1

Author(s):

Masahiko Ito ◽

Masatoshi Noumi

Keyword(s):

Determinant Formula ◽

Hypergeometric Integrals ◽

Elliptic Hypergeometric Integrals

Transformations of elliptic hypergeometric integrals

Annals of Mathematics ◽

10.4007/annals.2010.171.169 ◽

2010 ◽

Vol 171 (1) ◽

pp. 169-243 ◽

Cited By ~ 59

Author(s):

Eric M. Rains

Keyword(s):

Hypergeometric Integrals ◽

Elliptic Hypergeometric Integrals

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

Symmetry Integrability and Geometry Methods and Applications ◽

10.3842/sigma.2018.043 ◽

2018 ◽

Author(s):

Arash Arabi Ardehali ◽

Keyword(s):

Supersymmetric Gauge Theory ◽

Gauge Theory ◽

Hypergeometric Integrals ◽

Supersymmetric Gauge ◽

Elliptic Hypergeometric Integrals

Handbook of Hypergeometric Integrals.

Journal of the Royal Statistical Society Series A (General) ◽

10.2307/2344511 ◽

1978 ◽

Vol 141 (4) ◽

pp. 563

Author(s):

B. W. Conolly ◽

Harold Exton

Keyword(s):

Hypergeometric Integrals

Handbook of hypergeometric integrals—theory, application, tables, computer programs, by Harold Exton, Ellis Horwood Limited, Chichester, 1978. No. of pages: 316, price £15

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620140114 ◽

1979 ◽

Vol 14 (1) ◽

pp. 155-155 ◽

Cited By ~ 1

Author(s):

J. A. Murphy

Keyword(s):

Computer Programs ◽

Hypergeometric Integrals ◽

Theory Application

Hypergeometric Integrals of a Discriminantal Configuration

Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups - Advanced Series in Mathematical Physics ◽

10.1142/9789812798237_0012 ◽

1995 ◽

pp. 265-293

Keyword(s):

Hypergeometric Integrals