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- Hjalmar Rosengren
Hjalmar Rosengren
Professor Bitr
Avdelningen för Analys ochOm 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.
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On some double Nahm sums of
Zagier
Zhineng Cao, Hjalmar Rosengren, Liuquan Wang
Journal of Combinatorial Theory. Series A - 2024 -
Heisenberg models and Schur-Weyl
duality
Jakob E. Björnberg, Hjalmar Rosengren, K. Ryan
Advances in Applied Mathematics - 2023 -
From Kajihara’s transformation formula to deformed Macdonald–Ruijsenaars and Noumi–Sano
operators
Martin Hallnäs, E. Langmann, M. Noumi, Hjalmar Rosengren
Selecta Mathematica, New Series - 2022 -
Higher Order Deformed Elliptic Ruijsenaars
Operators
Martin Hallnäs, E. Langmann, M. Noumi, Hjalmar Rosengren
Communications in Mathematical Physics - 2022 -
Proofs of some partition identities conjectured by Kanade and
Russell
Hjalmar Rosengren
Ramanujan Journal - 2021 -
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root
Systems
Hjalmar Rosengren, M. J. Schlosser
Symmetry Integrability and Geometry-Methods and Applications - 2020 -
Determinantal elliptic Selberg
integrals
Hjalmar Rosengren
Seminaire Lotharingien de Combinatoire - 2020 -
Elliptic hypergeometric
functions
Hjalmar Rosengren
Lectures on Orthogonal Polynomials and Special Functions. Howard S. Cohl and Mourad E. H. Ismail (red.) - 2020 -
Elliptic hypergeometric functions associated with root
systems
Hjalmar Rosengren, Ole Warnaar
Multivariable Special Functions. Tom H. Koornwinder, Jasper V. Stokman (red.) - 2020 -
Rahman’s Biorthogonal Rational Functions and Superconformal
Indices
Hjalmar Rosengren
Constructive Approximation - 2018 -
Integral pentagon relations for 3d superconformal
indices
I. Gahramanov, Hjalmar Rosengren
Proceedings of Symposia in Pure Mathematics - 2016 -
Basic hypergeometry of supersymmetric
dualities
Ilmar Gahramanov, Hjalmar Rosengren
Nuclear Physics B - 2016 -
Rahman's biorthogonal functions and superconformal
indices
Hjalmar Rosengren
ArXiv - 2016 -
Elliptic pfaffians and solvable lattice
models
Hjalmar Rosengren
Journal of Statistical Mechanics: Theory and Experiment - 2016 -
Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular
hole
Hjalmar Rosengren
Journal of combinatorial theory. Series A - 2016 -
Special Polynomials Related to the Supersymmetric Eight-Vertex Model: A
Summary
Hjalmar Rosengren
Communications in Mathematical Physics - 2015 -
Inclusions of Waterman-Shiba spaces into generalized Wiener
classes
Mahdi Hormozi, F. Prus-Wisniowski, Hjalmar Rosengren
Journal of Mathematical Analysis and Applications - 2014 -
Integral pentagon relations for 3d superconformal
indices
Hjalmar Rosengren, Ilmar Gahramanov
2014 -
Special polynomials related to the supersymmetric eight-vertex model. III. Painlevé VI
equation
Hjalmar Rosengren
2014 -
Evaluation modules for the q-tetrahedron
algebra
Tatsuro Ito, Hjalmar Rosengren, Paul Terwilliger
Linear Algebra and its Applications - 2014 -
Special polynomials related to the supersymmetric eight-vertex model. I. Behaviour at
cusps
Hjalmar Rosengren
2013 -
A new pentagon identity for the tetrahedron
index
Ilmar Gahramanov, Hjalmar Rosengren
Journal of High Energy Physics - 2013 -
Special polynomials related to the supersymmetric eight-vertex model. II. Schrödinger
equation
Hjalmar Rosengren
2013 -
New proofs of determinant evaluations related to plane
partitions
Hjalmar Rosengren
Electronic Journal of Combinatorics - 2012 -
Felder's Elliptic Quantum Group and Elliptic Hypergeometric Series on the Root System
A(n)
Hjalmar Rosengren
International Mathematics Research Notices - 2011 -
The three-colour model with domain wall boundary
conditions
Hjalmar Rosengren
Advances in Applied Mathematics - 2011 -
An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign
matrices
Hjalmar Rosengren
Advances in Applied Mathematics - 2009 -
Sums of squares from elliptic
pfaffians
Hjalmar Rosengren
International Journal of Number Theory - 2008 -
Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted
tableaux
Hjalmar Rosengren
Journal of Combinatorial Theory A - 2008 -
Sums of triangular numbers from the Frobenius
determinant
Hjalmar Rosengren
Advances in Mathematics - 2007 -
An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and
elliptic)
Hjalmar Rosengren
Ramanujan Journal - 2007 -
New transformations for elliptic hypergeometric series on the root system
An
Hjalmar Rosengren
Ramanujan Journal - 2006 -
Elliptic determinant evaluations and the Macdonald identities for affine root
systems
Hjalmar Rosengren, Michael Schlosser
Compositio Mathematica - 2006 -
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random Hermitian
matrices
Hjalmar Rosengren
Symmetry, Integrability and Geometry: Methods and Applications - 2006 -
On Warnaar's elliptic matrix inversion and Karlsson-Minton-type elliptic hypergeometric
series
Hjalmar Rosengren, Michael Schlosser
Journal Of Computational and Applied Mathematics - 2005 -
Continuous Hahn functions as Clebsch-Gordan
coefficients
Hjalmar Rosengren, Erik Koelink, Wolter Groenevelt
M. E. H. Ismail and E. Koelink (eds.), Theory and Applications of Special Functions - A Volume Dedicated to Mizan Rahman - 2005 -
A bilateral series involving basic hypergeometric
functions
Hjalmar Rosengren
M. E. H. Ismail and E. Koelink (eds.), Theory and Applications of Special Functions - A Volume Dedicated to Mizan Rahman - 2005 -
An elliptic determinant
transformation
Hjalmar Rosengren
M. Noumi and K. Takasaki (eds.), Elliptic Integrable Systems - 2005 -
Reduction formulas for Karlsson-Minton-type hypergeometric
functions
Hjalmar Rosengren
Constructive Approximation - 2004 -
Elliptic U(2) quantum group and elliptic hypergeometric
series
Hjalmar Rosengren, Erik Koelink, Yvette van Norden
Communications in Mathematical Physics - 2004 -
Sklyanin invariant
integration
Hjalmar Rosengren
International Mathematics Research Notices - 2004 -
Duality and self-duality for dynamical quantum
groups
Hjalmar Rosengren
Algebras and Representation Theory - 2004 -
Elliptic hypergeometric series on root
systems
Hjalmar Rosengren
Advances in Mathematics - 2004 -
Summations and transformations for multiple basic and elliptic hypergeometric series by determinant
evaluations
Hjalmar Rosengren, Michael Schlosser
Indagationes Mathematicae - 2003 -
On a hypergeometric identity of Gelfand, Graev and
Retakh
Hjalmar Rosengren, Christian Krattenthaler
Journal of Computational and Applied Mathematics - 2003 -
Karlsson-Minton type hypergeometric functions on the root system
Cn
Hjalmar Rosengren
Journal of Mathematical Analysis and Applications - 2003 -
Transmutation kernels for the little q-Jacobi function
transform
Hjalmar Rosengren, Erik Koelink
Rocky Mountain Journal of Mathematics - 2002 -
Harmonic analysis on the SU(2) dynamical quantum
group
Hjalmar Rosengren, Erik Koelink
Acta Applicandae Mathematicae - 2001 -
A proof of a multivariable elliptic summation formula conjectured by
Warnaar
Hjalmar Rosengren
Contemporary Mathematics - 2001