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 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.

The optimal vector phase matching conditions in crystalline materials determined by extreme surfaces method: Example of uniaxial nonlinear crystals

2021 ◽  
Vol 120 ◽  
pp. 111420
Author(s):  
Nazariy Andrushchak ◽  
Oleh Buryy ◽  
Andriy Danylov ◽  
Anatoliy Andrushchak ◽  
Bouchta Sahraoui
Keyword(s):  
Phase Matching ◽  
Matching Conditions ◽  
Crystalline Materials ◽  
Nonlinear Crystals ◽  
Optimal Vector
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