Hjalmar Rosengren
Hjalmar Rosengrens forskningsområde är speciella funktioner, med betoning på samband med andra områden såsom representationsteori, kombinatorik, talteori och matematisk fysik. De senaste åren har han fokuserat på åtta-vertex-modellen och andra elliptiska gittermodeller i statistisk mekanik, och på hur de hänger samman med elliptiska kvantgrupper, elliptiska hypergeometriska funktioner och algebraiska lösningar till Painlevéekvationer.
Min riktiga hemsida hittar du här. Min riktiga publikationslista finns här.
Visar 47 publikationer
From Kajihara’s transformation formula to deformed Macdonald–Ruijsenaars and Noumi–Sano operators
Higher Order Deformed Elliptic Ruijsenaars Operators
Proofs of some partition identities conjectured by Kanade and Russell
Multidimensional matrix inversions and elliptic hypergeometric series on root systems
Elliptic hypergeometric functions associated with root systems
Determinantal elliptic Selberg integrals
Elliptic hypergeometric functions
Rahman’s Biorthogonal Rational Functions and Superconformal Indices
Gustafson-Rakha-Type Elliptic Hypergeometric Series
Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole
Elliptic pfaffians and solvable lattice models
Integral pentagon relations for 3d superconformal indices
Basic hypergeometry of supersymmetric dualities
Special Polynomials Related to the Supersymmetric Eight-Vertex Model: A Summary
Inclusions of Waterman-Shiba spaces into generalized Wiener classes
Evaluation modules for the q-tetrahedron algebra
Special polynomials related to the supersymmetric eight-vertex model. III. Painlevé VI equation
Special polynomials related to the supersymmetric eight-vertex model. II. Schrödinger equation
A new pentagon identity for the tetrahedron index
Special polynomials related to the supersymmetric eight-vertex model. I. Behaviour at cusps
New proofs of determinant evaluations related to plane partitions
The three-colour model with domain wall boundary conditions
Felder's Elliptic Quantum Group and Elliptic Hypergeometric Series on the Root System A(n)
An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
Sums of squares from elliptic pfaffians
Sums of triangular numbers from the Frobenius determinant
An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Elliptic determinant evaluations and the Macdonald identities for affine root systems
New transformations for elliptic hypergeometric series on the root system An
An elliptic determinant transformation
On Warnaar's elliptic matrix inversion and Karlsson-Minton-type elliptic hypergeometric series
Continuous Hahn functions as Clebsch-Gordan coefficients
A bilateral series involving basic hypergeometric functions
Reduction formulas for Karlsson-Minton-type hypergeometric functions
Elliptic U(2) quantum group and elliptic hypergeometric series
Duality and self-duality for dynamical quantum groups
Sklyanin invariant integration
Elliptic hypergeometric series on root systems
Karlsson-Minton type hypergeometric functions on the root system Cn
On a hypergeometric identity of Gelfand, Graev and Retakh
Transmutation kernels for the little q-Jacobi function transform
A proof of a multivariable elliptic summation formula conjectured by Warnaar
Harmonic analysis on the SU(2) dynamical quantum group
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Visar 4 forskningsprojekt
Kombinatorik för elliptiska gittermodeller
Matematiken bakom supersymmetriska gittermodeller och supersymmetriska kvantfältteorier
The mathematics of superconformal indices
Algebraisk och kombinatorisk analys av elliptiska gittermodeller