Complex and rational hypergeometric functions on root systems

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Elliptic functions and integrals (33E05) Higher logarithm functions (33B30) Hypergeometric functions associated with root systems (33C67) Elliptic integrals as hypergeometric functions (33C75)

Cites Work

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Elliptic hypergeometry of supersymmetric dualities
Exact solution of the Faddeev-Volkov model
Transformations of elliptic hypergeometric integrals
Applications of the superconformal index for protected operators and $q$-hypergeometric identities to ${\mathcal N}=1$ dual theories
Limits of elliptic hypergeometric integrals
$\mathrm{SL}(2,\mathbb{C})$ Gustafson integrals
Discrete Heisenberg-Weyl group and modular group
Barnes-Ismagilov integrals and hypergeometric functions of the complex field
The endless beta integrals
A pair of commuting hypergeometric operators on the complex plane and bispectrality
On complex gamma-function integrals
The $6j$-symbols for the $SL(2,\mathbb{C})$ group
Short proofs of the elliptic beta integrals
Unit circle elliptic beta integrals
Elliptic hypergeometric functions and Calogero-Sutherland-type models
Rational hypergeometric identities
Elliptic Selberg integrals
On the elliptic beta function
Racah operators for principal series of representations of the group $ \mathrm {SL}(2,\mathbb C)$
Essays on the theory of elliptic hypergeometric functions
ON THE COMPLEX SELBERG INTEGRAL
Some q-Beta and Mellin–Barnes Integrals with Many Parameters Associated to the Classical Groups
Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
Some q-Beta Integrals on $SU(n)$ and $Sp(n)$ That Generalize the Askey–Wilson and Nasrallah–Rahman Integrals
Integrability of difference Calogero–Moser systems
First order analytic difference equations and integrable quantum systems
Theta hypergeometric integrals
Gustafson integrals for $SL(2, \mathbb{C})$ spin magnet
Yang-Baxter equation, parameter permutations, and the elliptic beta integral
Complex hypergeometric functions and integrable many-body problems
An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
Elliptic hypergeometric function and $6j$-symbols for the SL(2,$\mathbb{C}$) group

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