Found 59 Documents (Results 1–59)
Baxter operators in Ruijsenaars hyperbolic system. IV: Coupling constant reflection symmetry. (English) Zbl 07845289
Reviewer: Danilo Latini (Roma)
Infinite elliptic hypergeometric series: convergence and diffrence equations. (English. Russian original) Zbl 07838004
Sb. Math. 214, No. 12, 1751-1778 (2023); translation from Mat. Sb. 214, No. 12, 106-134 (2023).
On Gustafson integrals for the group \(\mathrm{SL}(2,\mathbb{R} )\). (English. Russian original) Zbl 07794012
J. Math. Sci., New York 275, No. 3, 299-305 (2023); translation from Zap. Nauchn. Semin. POMI 509, 113-122 (2021).
Reviewer: Yunfeng Zhang (Beijing)
Eigenfunctions of the van Diejen model generated by gauge and integral transformations. (English) Zbl 1528.81128
Symmetry of terminating basic hypergeometric series representations of the Askey-Wilson polynomials. (English) Zbl 1520.33011
MSC:
33D15
Complex hypergeometric functions and integrable many-body problems. (English) Zbl 1519.70018
Reviewer: Arsen Melikyan (Brasília)
Elliptic hypergeometric function and \(6j\)-symbols for the \(SL(2,{\mathbb C})\) group. (English. Russian original) Zbl 1516.33011
Theor. Math. Phys. 213, No. 1, 1406-1422 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 108-128 (2022).
Bounded Littlewood identities. (English) Zbl 1467.05001
Memoirs of the American Mathematical Society 1317. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4690-1/pbk; 978-1-4704-6522-3/ebook). vii, 115 p. (2021).
Reviewer: Ioan Tomescu (Bucureşti)
The endless beta integrals. (English) Zbl 1473.33009
Reviewer: D. L. Suthar (Dessie)
Introduction to the theory of elliptic hypergeometric integrals. (English) Zbl 1454.81205
Gritsenko, Valery (ed.) et al., Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Cham: Springer. Mosc. Lect. 5, 271-318 (2020).
Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\). (English) Zbl 1431.81148
Cardy-like asymptotics of the 4d \( \mathcal{N}=4 \) index and \(\mathrm{AdS}_5\) black holes. (Cardy-like asymptotics of the 4d \( \mathcal{N}=4 \) index and \(\mathrm{AdS}_5\) blackholes.) (English) Zbl 1416.83037
Rahman’s biorthogonal rational functions and superconformal indices. (English) Zbl 1416.33024
Reviewer: C. L. Parihar (Indore)
The hyperbolic asymptotics of elliptic hypergeometric integrals arising in supersymmetric gauge theory. (English) Zbl 1390.33036
Elliptic hypergeometric sum/integral transformations and supersymmetric lens index. (English) Zbl 1387.33019
Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations. (English) Zbl 1380.81376
Spin chains and Gustafson’s integrals. (English) Zbl 1377.82012
Reviewer: Utkir A. Rozikov (Tashkent)
Derivation of a \(BC_n\) elliptic summation formula via the fundamental invariants. (English) Zbl 1366.33014
Reviewer: József Sándor (Cluj-Napoca)
Finite-dimensional representations of the elliptic modular double. (English. Russian original) Zbl 1328.81132
Theor. Math. Phys. 183, No. 2, 597-618 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 177-201 (2015).
Koornwinder polynomials and the \(XXZ\) spin chain. (English) Zbl 1326.33024
Reviewer: Guy Jumarie (Montréal)
Limits of elliptic hypergeometric biorthogonal functions. (English) Zbl 1316.33007
Reviewer: Francisco Marcellán (Leganes)
MSC:
33C50
6j symbols for the modular double, quantum hyperbolic geometry, and supersymmetric gauge theories. (English) Zbl 1296.81038
Correlation functions of the half-infinite XXZ spin chain with a triangular boundary. (English) Zbl 1284.82015
MSC:
82B20
Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices. (English) Zbl 1285.81064
Reviewer: Yong-Qing Chen (Shenzhen)
New \( \mathcal{N} = 1\) dualities from orientifold transitions part I: field theory. (English) Zbl 1342.81427
Seiberg dualities and the 3d/4d connection. (English) Zbl 1397.81391
MSC:
81T60
Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions. (English) Zbl 1397.81329
F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories. (English) Zbl 1246.81471
Elliptic hypergeometry of supersymmetric dualities. (English) Zbl 1225.81137
Reviewer: Chen Yong-Qing (Shenzhen)
An elliptic hypergeometric integral with \(W(F_4)\) symmetry. (English) Zbl 1223.33036
Reviewer: Sunil Dutt Purohit (Udaipur)
Superconformal indices for \({\mathcal N}=1\) theories with multiple duals. (English) Zbl 1196.81208
Transformations of elliptic hypergeometric integrals. (English) Zbl 1209.33014
Reviewer: Valentina Golubeva (Moskva)
Determinants of elliptic hypergeometric integrals. (English. Russian original) Zbl 1193.33201
Funct. Anal. Appl. 43, No. 4, 297-311 (2009); translation from Funkts. Anal. Prilozh. 43, No. 4, 67-86 (2009).
Reviewer: Nele De Schepper (Gent)
MSC:
33C75
Rational interpolation to solutions of Riccati difference equations on elliptic lattices. (English) Zbl 1174.42031
Abel’s method on summation by parts and theta hypergeometric series. (English) Zbl 1154.33008
Reviewer: Stamatis Koumandos (Nicosia)
Elliptic hypergeometric functions and Calogero-Sutherland-type models. (English. Russian original) Zbl 1125.37040
Theor. Math. Phys. 150, No. 2, 266-277 (2007); translation from Teor. Mat. Fiz. 150, No. 2, 311-324 (2007).
New transformations for elliptic hypergeometric series on the root system \(A_n\). (English) Zbl 1103.33012
Inversions of integral operators and elliptic beta integrals on root systems. (English) Zbl 1103.33015
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