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 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.

Handbook of Hypergeometric Integrals.

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