Publications of Hjalmar Rosengren

Recent work:
Papers accepted for publication:
  1. Rahman's biorthogonal functions and superconformal indices, Constr. Approx., to appear, 1612.05051.
  2. Gustafson-Rakha-type elliptic hypergeometric series, SIGMA 13 (2017), 037, 1701.08960.
  3. with Ilmar Gahramanov, Basic hypergeometry of supersymmetric dualities, J. Nucl. Phys. B 913 (2016), 747-768, 1606.08185.
  4. Elliptic pfaffians and solvable lattice models, J. Stat. Mech. Theory Exp. (2016), 083106, 1605.02915.
  5. Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole, J. Combin. Theory A 138 (2016), 29-59, 1503.00971.
  6. with Ilmar Gahramanov, Integral pentagon relations for 3d superconformal indices, in V. Bouchard et al. (eds.), String-Math 2014, Proc. Symp. Pure Math. 93, Amer. Math. Soc., 2016, pp. 167-175, 1412.2926.
  7. Special polynomials related to the supersymmetric eight-vertex model: A summary, Comm. Math. Phys. 340 (2015), 1143-1170, 1503.02833.
    (More details can be found in the three preprints 1305.0666, 1312.5879, 1405.5318.)
  8. with Mahdi Hormozi and Franciszek Prus-Wisniowski, Inclusions of Waterman-Shiba spaces into generalized Wiener classes, J. Math. Anal. Appl. 419 (2014), 428-432, 1311.5324.
  9. with Tatsuro Ito and Paul Terwilliger, Evaluation modules for the q-tetrahedron algebra, Linear Algebra Appl. 451 (2014), 107-168, 1308.3480.
  10. with Ilmar Gahramanov, A new pentagon identity for the tetrahedron index, J. High. Energy Phys. 2013 (2013): 128, 1309.2195.
  11. New proofs of determinant evaluations related to plane partitions, Electronic J. Combin. 19 (2012): 15, 1204.3424.
  12. Felder's elliptic quantum group and elliptic hypergeometric series on the root system An, Int. Math. Res. Not. 2011 (2011), 2861-2920, 1003.3730.
  13. The three-colour model with domain wall boundary conditions, Adv. Appl. Math. 46 (2011), 481-535, 0911.0561.
  14. An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices, Adv. Appl. Math. 43 (2009), 137-155, 0801.1229.
  15. Sums of squares from elliptic pfaffians, Int. J. Number Theory 4 (2008), 873-902, math.NT/0610278.
  16. Schur Q-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux, J. Combin. Theory A 115 (2008), 376-406, math.CO/0603086.
  17. Sums of triangular numbers from the Frobenius determinant, Adv. Math. 208 (2007), 935-961, math.NT/0504272.
  18. An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic), Ramanujan J. 13 (2007), 133-168, math.CA/0312310.
  19. Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices, Symmetry Integrability Geom. Methods Appl. 2 (2006): 085, math.CA/0606391.
  20. New transformations for elliptic hypergeometric series on the root system An, Ramanujan J. 12 (2006), 155-166, math.CA/0305379.
  21. with Michael Schlosser, Elliptic determinant evaluations and the Macdonald identities for affine root systems, Compositio Math. 142 (2006), 937-961, math.CA/0505213.
  22. An elliptic determinant transformation, in M. Noumi and K. Takasaki (eds.), "Elliptic Integrable Systems", Rokko Lectures in Math. 18, Kobe University, 2005, pp. 241-246, math.CA/0505248.
  23. with Michael Schlosser, On Warnaar's elliptic matrix inversion and Karlsson-Minton-type elliptic hypergeometric series, J. Comput. Appl. Math. 178 (2005), 377-391, math.CA/0309358.
  24. A bilateral series involving basic hypergeometric functions, in M. E. H. Ismail and E. Koelink (eds.), "Theory and Applications of Special Functions. A Volume Dedicated to Mizan Rahman", Developments in Math. 13, Kluwer Acad. Publ., 2005, pp. 361-366, math.CA/0302114.
  25. with Wolter Groenevelt and Erik Koelink, Continuous Hahn functions as Clebsch-Gordan coefficients, in M. E. H. Ismail and E. Koelink (eds.), "Theory and Applications of Special Functions. A Volume Dedicated to Mizan Rahman", Developments in Math. 13, Kluwer Acad. Publ., 2005, pp. 221-284, math.CA/0302251.
  26. Sklyanin invariant integration, Int. Math. Res. Not. 2004 (2004), 3207-3232, math.QA/0405072.
  27. with Erik Koelink and Yvette van Norden, Elliptic U(2) quantum group and elliptic hypergeometric series, Comm. Math. Phys. 245 (2004), 519-537, math.QA/0304189.
  28. Elliptic hypergeometric series on root systems, Adv. Math. 181 (2004), 417-447, math.CA/0207046.
  29. Reduction formulas for Karlsson-Minton-type hypergeometric functions, Constr. Approx. 20 (2004), 525-548, math.CA/0202232.
  30. Duality and self-duality for dynamical quantum groups, Algebr. Represent. Theory 7 (2004), 363-393, math.QA/0107225.
  31. with Michael Schlosser, Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations, Indag. Math. 14 (2003), 483-514, math.CA/0304249.
  32. with Christian Krattenthaler, On a hypergeometric identity of Gelfand, Graev and Retakh, J. Comput. Appl. Math. 160 (2003), 147-158, math.CA/0303061.
  33. Karlsson-Minton type hypergeometric functions on the root system Cn, J. Math. Anal. Appl. 281 (2003), 332-345, math.CA/0205108.
  34. with Erik Koelink, Transmutation kernels for the little q-Jacobi function transform, Rocky Mountain J. Math. 32 (2002), 703-738, math.CA/0011002.
  35. A proof of a multivariable elliptic summation formula conjectured by Warnaar, in B. C. Berndt and K. Ono (eds.), "q-Series with Applications to Combinatorics, Number Theory, and Physics", Contemp. Math. 291, Amer. Math. Soc., Providence, 2001, pp. 193-202, math.CA/0101073.
  36. with Erik Koelink, Harmonic analysis on the SU(2) dynamical quantum group, Acta Appl. Math. 69 (2001), 163-220, math.QA/0010093.
  37. Multivariable q-Hahn polynomials as coupling coefficients for quantum algebra representations, Internat. J. Math. Math. Sci. 28 (2001), 331-359, ps.
  38. with Sander C. Hille, Miroslav Englis, Jaak Peetre and Genkai Zhang, A new kind of Hankel-Toeplitz type operator connected with the complementary series, Arab. J. Math. Sci. 6 (2000), 49-80, ps.
  39. A non-commutative binomial formula, J. Geom. Phys. 32 (2000), 349-363, dvi, ps.
  40. A new quantum algebraic interpretation of the Askey-Wilson polynomials, in M. E. H. Ismail and D. W. Stanton (eds.), "q-Series from a Contemporary Perspective", Contemp. Math. 254, Amer. Math. Soc., Providence, 2000, pp. 371-394, dvi, ps.
  41. Another proof of the triple sum formula for Wigner 9j-symbols, J. Math. Phys. 40 (1999), 6689-6691, dvi, ps.
  42. Multivariable orthogonal polynomials and coupling coefficients for discrete series representations, SIAM J. Math. Anal. 30 (1999), 233-272, dvi, ps.
  43. On the triple sum formula for Wigner 9j-symbols, J. Math. Phys. 39 (1998), 6730-6744, dvi, ps.
  44. Multilinear Hankel forms of higher order and orthogonal polynomials, Math. Scand. 82 (1998), 53-88, ps.

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