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

2019 ◽  
Vol 60 (7) ◽  
pp. 071705 ◽  
Author(s):  
Masahiko Ito ◽  
Masatoshi Noumi
Keyword(s):  
Determinant Formula ◽  
Hypergeometric Integrals ◽  
Elliptic Hypergeometric Integrals

scholarly journals Limits of elliptic hypergeometric integrals

2007 ◽  
Vol 18 (3) ◽  
pp. 257-306 ◽  
Author(s):  
Eric M. Rains
Keyword(s):  
Hypergeometric Integrals ◽  
Elliptic Hypergeometric Integrals

scholarly journals An Elliptic Hypergeometric Function Approach to Branching Rules

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.

scholarly journals Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions

2012 ◽  
Vol 2012 (6) ◽  
Author(s):  
V. P. Spiridonov ◽  
G. S. Vartanov
Keyword(s):  
Matching Conditions ◽  
Hypergeometric Integrals ◽  
Elliptic Hypergeometric Integrals

scholarly journals Transformations of elliptic hypergeometric integrals

2010 ◽  
Vol 171 (1) ◽  
pp. 169-243 ◽  
Author(s):  
Eric M. Rains
Keyword(s):  
Hypergeometric Integrals ◽  
Elliptic Hypergeometric Integrals

scholarly journals Determinants of elliptic hypergeometric integrals

2009 ◽  
Vol 43 (4) ◽  
pp. 297-311 ◽  
Author(s):  
E. M. Rains ◽  
V. P. Spiridonov
Keyword(s):  
Hypergeometric Integrals ◽  
Elliptic Hypergeometric Integrals

Handbook of Hypergeometric Integrals.

1978 ◽  
Vol 141 (4) ◽  
pp. 563
Author(s):  
B. W. Conolly ◽  
Harold Exton
Keyword(s):  
Hypergeometric Integrals

scholarly journals Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation

2006 ◽  
Vol 49 (3) ◽  
pp. 451-468 ◽  
Author(s):  
Nalini Joshi ◽  
Kenji Kajiwara ◽  
Marta Mazzocco
Keyword(s):  
Generating Function ◽  
Hankel Determinant ◽  
Determinant Formula
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