Handbook of Hypergeometric Integrals.

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

Handbook of Hypergeometric Integrals

Technometrics ◽  
1979 ◽  
Vol 21 (1) ◽  
pp. 136-137
Author(s):  
J. E. J.
Keyword(s):  
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.

Quantization of Bending Deformations of Polygons In , Hypergeometric Integrals and the Gassner Representation

2001 ◽  
Vol 44 (1) ◽  
pp. 36-60 ◽  
Author(s):  
Michael Kapovich ◽  
John J. Millson
Keyword(s):  
Singular Point ◽  
Lie Algebra ◽  
Moduli Space ◽  
Braid Group ◽  
Vector Fields ◽  
Flat Connection ◽  
Hamiltonian Action ◽  
Pure Braid Group ◽  
Hypergeometric Integrals

AbstractThe Hamiltonian potentials of the bending deformations of n-gons instudied in [KM] and [Kly] give rise to a Hamiltonian action of the Malcev Lie algebra𝓟nof the pure braid groupPnon the moduli spaceMrofn-gon linkages with the side-lengthsr = (r1, … , rn)in. Ife∈Mris a singular point wemay linearize the vector fields in𝓟nate. This linearization yields a flat connection ∇ on the spaceof n distinct points on. We show that the monodromy of ∇ is the dual of a quotient of a specialized reduced Gassner representation.

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