Atai, Farrokh; Langmann, Edwin Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation. (English) Zbl 1445.37043 J. Integrable Sys. 5, Article ID xyaa001, 26 p. (2020). MSC: 37J38 37J35 37K10 33E30 81Q80 PDF BibTeX XML Cite \textit{F. Atai} and \textit{E. Langmann}, J. Integrable Sys. 5, Article ID xyaa001, 26 p. (2020; Zbl 1445.37043) Full Text: DOI
Fournier, Richard On Jack’s lemma. (English) Zbl 1429.30007 Rocky Mt. J. Math. 49, No. 6, 1869-1875 (2019). MSC: 30C10 30C80 PDF BibTeX XML Cite \textit{R. Fournier}, Rocky Mt. J. Math. 49, No. 6, 1869--1875 (2019; Zbl 1429.30007) Full Text: DOI Euclid
Dunkl, Charles F. Some singular vector-valued Jack and Macdonald polynomials. (English) Zbl 1425.33007 Symmetry 11, No. 4, Paper No. 503, 14 p. (2019). MSC: 33C52 33D52 05E10 20C08 PDF BibTeX XML Cite \textit{C. F. Dunkl}, Symmetry 11, No. 4, Paper No. 503, 14 p. (2019; Zbl 1425.33007) Full Text: DOI arXiv
Atai, Farrokh; Hallnäs, Martin; Langmann, Edwin Orthogonality of super-Jack Polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland operators. (English) Zbl 1429.33021 Bull. Lond. Math. Soc. 51, No. 2, 353-370 (2019). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C52 81R12 PDF BibTeX XML Cite \textit{F. Atai} et al., Bull. Lond. Math. Soc. 51, No. 2, 353--370 (2019; Zbl 1429.33021) Full Text: DOI
Śniady, Piotr Asymptotics of Jack characters. (English) Zbl 07074986 J. Comb. Theory, Ser. A 166, 91-143 (2019). MSC: 20C PDF BibTeX XML Cite \textit{P. Śniady}, J. Comb. Theory, Ser. A 166, 91--143 (2019; Zbl 07074986) Full Text: DOI
Dołęga, Maciej; Śniady, Piotr Gaussian fluctuations of Jack-deformed random Young diagrams. (English) Zbl 1411.05281 Probab. Theory Relat. Fields 174, No. 1-2, 133-176 (2019). MSC: 05E10 05E05 20C30 60K35 60B20 PDF BibTeX XML Cite \textit{M. Dołęga} and \textit{P. Śniady}, Probab. Theory Relat. Fields 174, No. 1--2, 133--176 (2019; Zbl 1411.05281) Full Text: DOI
Mayerhofer, Eberhard On Wishart and noncentral Wishart distributions on symmetric cones. (English) Zbl 1447.60042 Trans. Am. Math. Soc. 371, No. 10, 7093-7109 (2019). MSC: 60E05 60B15 05A10 05A05 33C80 PDF BibTeX XML Cite \textit{E. Mayerhofer}, Trans. Am. Math. Soc. 371, No. 10, 7093--7109 (2019; Zbl 1447.60042) Full Text: DOI arXiv
Olshanski, Grigori Interpolation Macdonald polynomials and Cauchy-type identities. (English) Zbl 1401.05301 J. Comb. Theory, Ser. A 162, 65-117 (2019). MSC: 05E05 05A19 PDF BibTeX XML Cite \textit{G. Olshanski}, J. Comb. Theory, Ser. A 162, 65--117 (2019; Zbl 1401.05301) Full Text: DOI
Dołęga, Maciej Macdonald cumulants, \(G\)-inversion polynomials and \(G\)-parking functions. (English) Zbl 1400.05266 Eur. J. Comb. 75, 172-194 (2019). MSC: 05E10 05A15 PDF BibTeX XML Cite \textit{M. Dołęga}, Eur. J. Comb. 75, 172--194 (2019; Zbl 1400.05266) Full Text: DOI
Colmenarejo, Laura; Dunkl, Charles F.; Luque, Jean-Gabriel Factorizations of symmetric Macdonald polynomials. (English) Zbl 1423.81206 Symmetry 10, No. 11, Paper No. 541, 30 p. (2018). MSC: 81V70 05E05 PDF BibTeX XML Cite \textit{L. Colmenarejo} et al., Symmetry 10, No. 11, Paper No. 541, 30 p. (2018; Zbl 1423.81206) Full Text: DOI arXiv
Alexandersson, Per; Haglund, Jim; Wang, George On the Schur expansion of Jack polynomials. (English) Zbl 1411.05258 Sémin. Lothar. Comb. 80B, 80B.90, 12 p. (2018). MSC: 05E05 05A10 05E10 11B73 PDF BibTeX XML Cite \textit{P. Alexandersson} et al., Sémin. Lothar. Comb. 80B, 80B.90, 12 p. (2018; Zbl 1411.05258) Full Text: Link
Dunkl, Charles F. The smallest singular values and vector-valued Jack polynomials. (English) Zbl 1401.33010 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 115, 20 p. (2018). MSC: 33C52 05E10 05E05 20F55 PDF BibTeX XML Cite \textit{C. F. Dunkl}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 115, 20 p. (2018; Zbl 1401.33010) Full Text: DOI arXiv
Assaf, Sami Nonsymmetric Macdonald polynomials and a refinement of Kostka-Foulkes polynomials. (English) Zbl 1404.33017 Trans. Am. Math. Soc. 370, No. 12, 8777-8796 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33D52 05E05 14N15 PDF BibTeX XML Cite \textit{S. Assaf}, Trans. Am. Math. Soc. 370, No. 12, 8777--8796 (2018; Zbl 1404.33017) Full Text: DOI arXiv
Ramanan, Kavita; Shkolnikov, Mykhaylo Intertwinings of beta-Dyson Brownian motions of different dimensions. (English. French summary) Zbl 1391.60145 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 1152-1163 (2018). MSC: 60H10 33D52 82C22 PDF BibTeX XML Cite \textit{K. Ramanan} and \textit{M. Shkolnikov}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 2, 1152--1163 (2018; Zbl 1391.60145) Full Text: DOI Euclid arXiv
Czyzewska-Jankowska, Agnieszka; Śniady, Piotr Jack characters and enumeration of maps. (English) Zbl 1385.05015 Sémin. Lothar. Comb. 78B, 78B.5, 12 p. (2017). MSC: 05A15 05E05 20B30 PDF BibTeX XML Cite \textit{A. Czyzewska-Jankowska} and \textit{P. Śniady}, Sémin. Lothar. Comb. 78B, 78B.5, 12 p. (2017; Zbl 1385.05015) Full Text: Link
Dunkl, Charles F. Vector-valued Jack polynomials and wavefunctions on the torus. (English) Zbl 1369.81031 J. Phys. A, Math. Theor. 50, No. 24, Article ID 245201, 21 p. (2017). MSC: 81Q10 81V70 20C30 14M25 33C50 81Q35 81S05 PDF BibTeX XML Cite \textit{C. F. Dunkl}, J. Phys. A, Math. Theor. 50, No. 24, Article ID 245201, 21 p. (2017; Zbl 1369.81031) Full Text: DOI
Czyżewska-Jankowska, Agnieszka; Śniady, Piotr Bijection between oriented maps and weighted non-oriented maps. (English) Zbl 1367.05047 Electron. J. Comb. 24, No. 3, Research Paper P3.7, 34 p. (2017). MSC: 05C10 05E05 20C30 05C30 PDF BibTeX XML Cite \textit{A. Czyżewska-Jankowska} and \textit{P. Śniady}, Electron. J. Comb. 24, No. 3, Research Paper P3.7, 34 p. (2017; Zbl 1367.05047) Full Text: Link
Fournier, Richard On a new proof and an extension of Jack’s lemma. (English) Zbl 1364.30009 J. Appl. Anal. 23, No. 1, 21-24 (2017). MSC: 30C10 30C80 PDF BibTeX XML Cite \textit{R. Fournier}, J. Appl. Anal. 23, No. 1, 21--24 (2017; Zbl 1364.30009) Full Text: DOI
Dunkl, Charles F. A linear system of differential equations related to vector-valued Jack polynomials on the torus. (English) Zbl 1366.33008 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 040, 41 p. (2017). MSC: 33C52 20C30 32W50 35F35 42B05 PDF BibTeX XML Cite \textit{C. F. Dunkl}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 040, 41 p. (2017; Zbl 1366.33008) Full Text: DOI arXiv
Mezzadri, Francesco; Reynolds, Alexi K.; Winn, Brian Moments of the eigenvalue densities and of the secular coefficients of \(\beta\)-ensembles. (English) Zbl 1362.15027 Nonlinearity 30, No. 3, 1034-1057 (2017). MSC: 15B52 05E05 33C45 PDF BibTeX XML Cite \textit{F. Mezzadri} et al., Nonlinearity 30, No. 3, 1034--1057 (2017; Zbl 1362.15027) Full Text: DOI
Alexandersson, Per; Féray, Valentin Shifted symmetric functions and multirectangular coordinates of Young diagrams. (English) Zbl 1362.05125 J. Algebra 483, 262-305 (2017). MSC: 05E05 05E10 20C30 PDF BibTeX XML Cite \textit{P. Alexandersson} and \textit{V. Féray}, J. Algebra 483, 262--305 (2017; Zbl 1362.05125) Full Text: DOI
Liu, Dang-Zheng Limits for circular Jacobi beta-ensembles. (English) Zbl 1364.60016 J. Approx. Theory 215, 40-67 (2017). Reviewer: Olivier Marchal (Saint-Etienne) MSC: 60B20 33C75 41A60 PDF BibTeX XML Cite \textit{D.-Z. Liu}, J. Approx. Theory 215, 40--67 (2017; Zbl 1364.60016) Full Text: DOI arXiv
Lenart, Cristian Combinatorial representation theory of Lie algebras. Richard Stanley’s work and the way it was continued. (English) Zbl 1364.05088 Hersh, Patricia (ed.) et al., The mathematical legacy of Richard P. Stanley. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2724-5/hbk; 978-1-4704-3477-9/ebook). 263-277 (2016). MSC: 05E10 05E15 17B10 PDF BibTeX XML Cite \textit{C. Lenart}, in: The mathematical legacy of Richard P. Stanley. Providence, RI: American Mathematical Society (AMS). 263--277 (2016; Zbl 1364.05088) Full Text: arXiv
Naqvi, Yusra A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials. (English) Zbl 1352.05186 J. Algebr. Comb. 44, No. 3, 603-643 (2016). MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{Y. Naqvi}, J. Algebr. Comb. 44, No. 3, 603--643 (2016; Zbl 1352.05186) Full Text: DOI arXiv
Sahi, Siddhartha; Salmasian, Hadi The Capelli problem for \(\mathfrak{gl}(m|n)\) and the spectrum of invariant differential operators. (English) Zbl 1347.17005 Adv. Math. 303, 1-38 (2016). MSC: 17B10 05E05 33D80 PDF BibTeX XML Cite \textit{S. Sahi} and \textit{H. Salmasian}, Adv. Math. 303, 1--38 (2016; Zbl 1347.17005) Full Text: DOI arXiv
Fyodorov, Yan V.; Le Doussal, Pierre Moments of the position of the maximum for GUE characteristic polynomials and for log-correlated Gaussian processes. (English) Zbl 1347.60059 J. Stat. Phys. 164, No. 1, 190-240 (2016). MSC: 60G70 60G15 60G22 60B20 PDF BibTeX XML Cite \textit{Y. V. Fyodorov} and \textit{P. Le Doussal}, J. Stat. Phys. 164, No. 1, 190--240 (2016; Zbl 1347.60059) Full Text: DOI arXiv
Dołęga, Maciej; Féray, Valentin Gaussian fluctuations of Young diagrams and structure constants of Jack characters. (English) Zbl 1338.60017 Duke Math. J. 165, No. 7, 1193-1282 (2016). MSC: 60C05 60B20 05E05 PDF BibTeX XML Cite \textit{M. Dołęga} and \textit{V. Féray}, Duke Math. J. 165, No. 7, 1193--1282 (2016; Zbl 1338.60017) Full Text: DOI Euclid arXiv
Dunkl, Charles F. Orthogonality measure on the torus for vector-valued Jack polynomials. (English) Zbl 1338.33024 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 033, 27 p. (2016). MSC: 33C52 42B10 20C30 46G10 35F35 PDF BibTeX XML Cite \textit{C. F. Dunkl}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 033, 27 p. (2016; Zbl 1338.33024) Full Text: DOI arXiv
de Gier, Jan; Wheeler, Michael A summation formula for Macdonald polynomials. (English) Zbl 1332.05145 Lett. Math. Phys. 106, No. 3, 381-394 (2016). MSC: 05E05 05A30 33D80 33D52 PDF BibTeX XML Cite \textit{J. de Gier} and \textit{M. Wheeler}, Lett. Math. Phys. 106, No. 3, 381--394 (2016; Zbl 1332.05145) Full Text: DOI arXiv
Díaz-García, José A.; Caro-Lopera, Francisco J. Elliptical affine shape distributions for real normed division algebras. (English) Zbl 1360.62257 J. Multivariate Anal. 144, 139-149 (2016). MSC: 62H10 62E15 15A09 15B52 17A35 PDF BibTeX XML Cite \textit{J. A. Díaz-García} and \textit{F. J. Caro-Lopera}, J. Multivariate Anal. 144, 139--149 (2016; Zbl 1360.62257) Full Text: DOI
Gorin, Vadim; Shkolnikov, Mykhaylo Multilevel Dyson Brownian motions via Jack polynomials. (English) Zbl 1334.60160 Probab. Theory Relat. Fields 163, No. 3-4, 413-463 (2015). MSC: 60J60 60J65 60J10 60H10 60K35 60B20 82C22 05E05 PDF BibTeX XML Cite \textit{V. Gorin} and \textit{M. Shkolnikov}, Probab. Theory Relat. Fields 163, No. 3--4, 413--463 (2015; Zbl 1334.60160) Full Text: DOI arXiv
Desrosiers, Patrick; Liu, Dang-Zheng Selberg integrals, super-hypergeometric functions and applications to \(\beta\)-ensembles of random matrices. (English) Zbl 1328.15049 Random Matrices Theory Appl. 4, No. 2, Article ID 1550007, 59 p. (2015). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 05E05 33C70 60B20 PDF BibTeX XML Cite \textit{P. Desrosiers} and \textit{D.-Z. Liu}, Random Matrices Theory Appl. 4, No. 2, Article ID 1550007, 59 p. (2015; Zbl 1328.15049) Full Text: DOI arXiv
Grimaldo, Johnny Alejandro Mora; Téllez, Gabriel Relations among two methods for computing the partition function of the two-dimensional one-component plasma. (English) Zbl 1327.82084 J. Stat. Phys. 160, No. 1, 4-28 (2015). MSC: 82D10 82C22 15B52 PDF BibTeX XML Cite \textit{J. A. M. Grimaldo} and \textit{G. Téllez}, J. Stat. Phys. 160, No. 1, 4--28 (2015; Zbl 1327.82084) Full Text: DOI
Lapointe, Luc; Mathieu, Pierre From Jack to double Jack polynomials via the supersymmetric bridge. (English) Zbl 1316.05122 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 051, 15 p. (2015). MSC: 05E05 81Q60 81R12 37J35 PDF BibTeX XML Cite \textit{L. Lapointe} and \textit{P. Mathieu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 051, 15 p. (2015; Zbl 1316.05122) Full Text: DOI EMIS arXiv
Jiang, Yunjiang Mixing time of Metropolis chain based on random transposition walk converging to multivariate Ewens distribution. (English) Zbl 1330.60089 Ann. Appl. Probab. 25, No. 3, 1581-1615 (2015). MSC: 60J22 60J05 05E05 65C40 PDF BibTeX XML Cite \textit{Y. Jiang}, Ann. Appl. Probab. 25, No. 3, 1581--1615 (2015; Zbl 1330.60089) Full Text: DOI Euclid arXiv
Ridout, David; Wood, Simon From Jack polynomials to minimal model spectra. (English) Zbl 1320.17018 J. Phys. A, Math. Theor. 48, No. 4, Article ID 045201, 17 p. (2015). MSC: 17B69 33C80 81T40 PDF BibTeX XML Cite \textit{D. Ridout} and \textit{S. Wood}, J. Phys. A, Math. Theor. 48, No. 4, Article ID 045201, 17 p. (2015; Zbl 1320.17018) Full Text: DOI arXiv
Dołȩga, Maciej; Féray, Valentin; Śniady, Piotr Jack polynomials and orientability generating series of maps. (English) Zbl 1311.05204 Sémin. Lothar. Comb. 70(2013-2014), B70j, 50 p. (2014). MSC: 05E05 05E10 05C10 05C30 20C30 PDF BibTeX XML Cite \textit{M. Dołȩga} et al., Sémin. Lothar. Comb. 70, B70j, 50 p. (2014; Zbl 1311.05204) Full Text: EMIS arXiv
Desrosiers, Patrick; Liu, Dang-Zheng Asymptotics for products of characteristic polynomials in classical \(\beta\)-ensembles. (English) Zbl 1311.15033 Constr. Approx. 39, No. 2, 273-322 (2014). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 05E05 33C70 60B20 15A18 PDF BibTeX XML Cite \textit{P. Desrosiers} and \textit{D.-Z. Liu}, Constr. Approx. 39, No. 2, 273--322 (2014; Zbl 1311.15033) Full Text: DOI arXiv
Díaz-García, José A. Integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials. (English) Zbl 1298.62084 J. Iran. Stat. Soc. JIRSS 13, No. 1, 83-124 (2014). MSC: 62H10 62E15 05Exx 33Cxx 44A10 PDF BibTeX XML Cite \textit{J. A. Díaz-García}, J. Iran. Stat. Soc. JIRSS 13, No. 1, 83--124 (2014; Zbl 1298.62084)
Morozov, Alexei; Smirnov, Andrey Towards the proof of AGT relations with the help of the generalized Jack polynomials. (English) Zbl 1296.81113 Lett. Math. Phys. 104, No. 5, 585-612 (2014). MSC: 81T40 81T60 05E05 81T13 14D21 81R10 PDF BibTeX XML Cite \textit{A. Morozov} and \textit{A. Smirnov}, Lett. Math. Phys. 104, No. 5, 585--612 (2014; Zbl 1296.81113) Full Text: DOI arXiv
Liu, Zhi-Sheng; Xu, Ying-Ying; Yu, Ming Integrability and transition coefficients related to Jack polynomials. (English) Zbl 1290.70017 Commun. Theor. Phys. 61, No. 5, 611-618 (2014). MSC: 70F10 70H06 33C52 PDF BibTeX XML Cite \textit{Z.-S. Liu} et al., Commun. Theor. Phys. 61, No. 5, 611--618 (2014; Zbl 1290.70017) Full Text: DOI
Cai, Tommy Wuxing; Jing, Naihuan Jack vertex operators and realization of Jack functions. (English) Zbl 1286.05175 J. Algebr. Comb. 39, No. 1, 53-74 (2014). MSC: 05E05 17B69 PDF BibTeX XML Cite \textit{T. W. Cai} and \textit{N. Jing}, J. Algebr. Comb. 39, No. 1, 53--74 (2014; Zbl 1286.05175) Full Text: DOI arXiv
Amri, Béchir Note on Bessel functions of type \({A}_{ N-1}\). (English) Zbl 1405.33018 Integral Transforms Spec. Funct. 25, No. 6, 448-461 (2014). MSC: 33C52 33C67 05E05 PDF BibTeX XML Cite \textit{B. Amri}, Integral Transforms Spec. Funct. 25, No. 6, 448--461 (2014; Zbl 1405.33018) Full Text: DOI arXiv
Alarie-Vézina, Ludovic; Desrosiers, Patrick; Mathieu, Pierre Ramond singular vectors and Jack superpolynomials. (English) Zbl 1283.81074 J. Phys. A, Math. Theor. 47, No. 3, Article ID 035202, 17 p. (2014). MSC: 81Q60 33D52 05E05 PDF BibTeX XML Cite \textit{L. Alarie-Vézina} et al., J. Phys. A, Math. Theor. 47, No. 3, Article ID 035202, 17 p. (2014; Zbl 1283.81074) Full Text: DOI arXiv
Fournier, Richard Jack’s lemma and a class of polynomial inequalities. (English) Zbl 1313.30100 Mathematica 55(78), No. 2, 172-177 (2013). MSC: 30C80 30C10 PDF BibTeX XML Cite \textit{R. Fournier}, Mathematica 55(78), No. 2, 172--177 (2013; Zbl 1313.30100)
Cai, Tommy Wuxing; Jing, Naihuan Vertex operator realization of Jack symmetric functions. (English) Zbl 1298.05317 Bai, Chengming (ed.) et al., Symmetries and groups in contemporary physics. Proceedings of the XXIX international colloquium on group-theoretical methods in physics, Tianjin, China, August 20–26, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4518-54-3/hbk; 978-981-4518-56-7/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 11, 607-610 (2013). MSC: 05E05 17B69 33C80 PDF BibTeX XML Cite \textit{T. W. Cai} and \textit{N. Jing}, Nankai Ser. Pure Appl. Math. Theor. Phys. 11, 607--610 (2013; Zbl 1298.05317) Full Text: DOI
Bryc, Włodzimierz; Letac, Gérard Meixner matrix ensembles. (English) Zbl 1296.60005 J. Theor. Probab. 26, No. 1, 107-152 (2013). MSC: 60B20 PDF BibTeX XML Cite \textit{W. Bryc} and \textit{G. Letac}, J. Theor. Probab. 26, No. 1, 107--152 (2013; Zbl 1296.60005) Full Text: DOI
Nazarov, Maxim; Sklyanin, Evgeny Integrable hierarchy of the quantum Benjamin-Ono equation. (English) Zbl 1301.37047 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 078, 14 p. (2013). MSC: 37K10 33D52 05E05 81Q80 PDF BibTeX XML Cite \textit{M. Nazarov} and \textit{E. Sklyanin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 078, 14 p. (2013; Zbl 1301.37047) Full Text: DOI EMIS arXiv
Dołȩga, Maciej; Féray, Valentin On Kerov polynomials for Jack characters. (English) Zbl 1294.05171 Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 539-550, electronic only (2013). MSC: 05E10 05E05 PDF BibTeX XML Cite \textit{M. Dołȩga} and \textit{V. Féray}, in: Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24--28, 2013. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 539--550 (2013; Zbl 1294.05171) Full Text: Link
Forrester, Peter J. Probability densities and distributions for spiked and general variance Wishart \(\beta\)-ensembles. (English) Zbl 1281.15042 Random Matrices Theory Appl. 2, No. 4, Article ID 1350011, 19 p. (2013). MSC: 15B52 15A18 60B20 33E17 PDF BibTeX XML Cite \textit{P. J. Forrester}, Random Matrices Theory Appl. 2, No. 4, Article ID 1350011, 19 p. (2013; Zbl 1281.15042) Full Text: DOI arXiv
Forrester, Peter J. Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations. (English) Zbl 1279.15028 J. Phys. A, Math. Theor. 46, No. 24, Article ID 245203, 10 p. (2013). Reviewer: Carlos Gabriel Pacheco (México D. F.) MSC: 15B52 60B20 15B33 15A18 PDF BibTeX XML Cite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 46, No. 24, Article ID 245203, 10 p. (2013; Zbl 1279.15028) Full Text: DOI arXiv
Díaz-García, José A.; Gutiérrez-Jáimez, Ramón An identity of Jack polynomials. (English) Zbl 1259.33011 J. Iran. Stat. Soc. JIRSS 11, No. 1, 87-92 (2012). MSC: 33C20 15B52 PDF BibTeX XML Cite \textit{J. A. Díaz-García} and \textit{R. Gutiérrez-Jáimez}, J. Iran. Stat. Soc. JIRSS 11, No. 1, 87--92 (2012; Zbl 1259.33011)
Téllez, Gabriel; Forrester, Peter J. Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma. (English) Zbl 1259.82113 J. Stat. Phys. 148, No. 5, 824-855 (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82D10 PDF BibTeX XML Cite \textit{G. Téllez} and \textit{P. J. Forrester}, J. Stat. Phys. 148, No. 5, 824--855 (2012; Zbl 1259.82113) Full Text: DOI arXiv
Faraut, Jacques Asympotics of spherical functions for large rank: an introduction. (English) Zbl 1267.43006 Krötz, Bernhard (ed.) et al., Representation theory, complex analysis, and integral geometry. Outgrowth of the special term “Harmonic analysis, representation theory, and integral geometry” held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser (ISBN 978-0-8176-4816-9/hbk; 978-0-8176-4817-6/ebook). 251-275 (2012). Reviewer: Tom ter Elst (Auckland) MSC: 43A90 43A75 53C35 33C52 PDF BibTeX XML Cite \textit{J. Faraut}, in: Representation theory, complex analysis, and integral geometry. Outgrowth of the special term ``Harmonic analysis, representation theory, and integral geometry'' held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser. 251--275 (2012; Zbl 1267.43006) Full Text: DOI
Wang, Dong The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source. I. (English) Zbl 1246.15036 J. Stat. Phys. 146, No. 4, 719-761 (2012). Reviewer: Chen Mu-Fa (Beijing) MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{D. Wang}, J. Stat. Phys. 146, No. 4, 719--761 (2012; Zbl 1246.15036) Full Text: DOI arXiv
Féray, Valentin; Śniady, Piotr Dual combinatorics of zonal polynomials. (English. French summary) Zbl 1355.05252 Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13–17, 2011. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 317-328 (2011). MSC: 05E05 33C52 PDF BibTeX XML Cite \textit{V. Féray} and \textit{P. Śniady}, in: Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13--17, 2011. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 317--328 (2011; Zbl 1355.05252) Full Text: Link
Mkrtchyan, Ruben L.; Veselov, Alexander P. On duality and negative dimensions in the theory of Lie groups and symmetric spaces. (English) Zbl 1272.53045 J. Math. Phys. 52, No. 8, 083514, 10 p. (2011). MSC: 53C35 22E10 32M15 33D52 32M05 05E05 PDF BibTeX XML Cite \textit{R. L. Mkrtchyan} and \textit{A. P. Veselov}, J. Math. Phys. 52, No. 8, 083514, 10 p. (2011; Zbl 1272.53045) Full Text: DOI arXiv
Yanagida, Shintarou Norm of logarithmic primary of Virasoro algebra. (English) Zbl 1267.17031 Lett. Math. Phys. 98, No. 2, 133-156 (2011). MSC: 17B68 05E05 17B81 81R10 81T40 PDF BibTeX XML Cite \textit{S. Yanagida}, Lett. Math. Phys. 98, No. 2, 133--156 (2011; Zbl 1267.17031) Full Text: DOI arXiv
Dunkl, Charles F.; Luque, Jean-Gabriel Vector-valued Jack polynomials from scratch. (English) Zbl 1225.05239 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 026, 48 p. (2011). MSC: 05E05 16T25 05C25 20B30 33C80 PDF BibTeX XML Cite \textit{C. F. Dunkl} and \textit{J.-G. Luque}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 026, 48 p. (2011; Zbl 1225.05239) Full Text: DOI EuDML arXiv
Fourati, Faïza Dirichlet distribution and orbital measures. (English) Zbl 1229.60008 J. Lie Theory 21, No. 1, 189-203 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 60B05 65D07 PDF BibTeX XML Cite \textit{F. Fourati}, J. Lie Theory 21, No. 1, 189--203 (2011; Zbl 1229.60008) Full Text: Link
Dunkl, Charles F. Symmetric and antisymmetric vector-valued Jack polynomials. (English) Zbl 1205.05241 Sémin. Lothar. Comb. 64, B64a, 33 p. (2010). MSC: 05E05 20C30 33C80 PDF BibTeX XML Cite \textit{C. F. Dunkl}, Sémin. Lothar. Comb. 64, B64a, 33 p. (2010; Zbl 1205.05241) Full Text: EMIS EuDML arXiv
Dunkl, Charles; Griffeth, Stephen Generalized Jack polynomials and the representation theory of rational Cherednik algebras. (English) Zbl 1230.05285 Sel. Math., New Ser. 16, No. 4, 791-818 (2010). MSC: 05E10 05E05 05E15 16S35 20C30 16D90 16S38 16T30 PDF BibTeX XML Cite \textit{C. Dunkl} and \textit{S. Griffeth}, Sel. Math., New Ser. 16, No. 4, 791--818 (2010; Zbl 1230.05285) Full Text: DOI arXiv
Cai, Wuxing; Jing, Naihuan On vertex operator realizations of Jack functions. (English) Zbl 1221.17031 J. Algebr. Comb. 32, No. 4, 579-595 (2010). Reviewer: Ozren Perše (Zagreb) MSC: 17B69 05E05 33D52 PDF BibTeX XML Cite \textit{W. Cai} and \textit{N. Jing}, J. Algebr. Comb. 32, No. 4, 579--595 (2010; Zbl 1221.17031) Full Text: DOI arXiv
Griffeth, Stephen Towards a combinatorial representation theory for the rational Cherednik algebra of type \(G(r,p,n)\). (English) Zbl 1227.05265 Proc. Edinb. Math. Soc., II. Ser. 53, No. 2, 419-445 (2010). MSC: 05E10 16G99 20F55 33C52 33C80 PDF BibTeX XML Cite \textit{S. Griffeth}, Proc. Edinb. Math. Soc., II. Ser. 53, No. 2, 419--445 (2010; Zbl 1227.05265) Full Text: DOI arXiv
Desrosiers, Patrick Duality in random matrix ensembles for all \(\beta \). (English) Zbl 1194.15032 Nucl. Phys., B 817, No. 3, 224-251 (2009). MSC: 15B52 05E05 33C47 PDF BibTeX XML Cite \textit{P. Desrosiers}, Nucl. Phys., B 817, No. 3, 224--251 (2009; Zbl 1194.15032) Full Text: DOI arXiv
Feng, Zhi Ming; Song, Ji Ping Integrals over the circular ensembles relating to classical domains. (English) Zbl 1183.82036 J. Phys. A, Math. Theor. 42, No. 32, Article ID 325204, 23 p. (2009). MSC: 82B44 33C80 15B52 PDF BibTeX XML Cite \textit{Z. M. Feng} and \textit{J. P. Song}, J. Phys. A, Math. Theor. 42, No. 32, Article ID 325204, 23 p. (2009; Zbl 1183.82036) Full Text: DOI
Lassalle, Michel Jack polynomials and free cumulants. (English) Zbl 1228.05292 Adv. Math. 222, No. 6, 2227-2269 (2009). MSC: 05E05 05E10 33C52 46L54 PDF BibTeX XML Cite \textit{M. Lassalle}, Adv. Math. 222, No. 6, 2227--2269 (2009; Zbl 1228.05292) Full Text: DOI arXiv
Kuramoto, Yoshio; Kato, Yusuke Dynamics of one-dimensional quantum systems. Inverse-square interaction models. (English) Zbl 1187.81108 Cambridge: Cambridge University Press (ISBN 978-0-521-81598-7/hbk; 978-0-511-59682-7/ebook). xii, 474 p. (2009). Reviewer: Paninjukunnath Achuthan (Madras) MSC: 81Q05 81-02 81V70 82B20 82B30 PDF BibTeX XML Cite \textit{Y. Kuramoto} and \textit{Y. Kato}, Dynamics of one-dimensional quantum systems. Inverse-square interaction models. Cambridge: Cambridge University Press (2009; Zbl 1187.81108) Full Text: DOI
Lapointe, Luc; Le Borgne, Yvan; Nadeau, Philippe A normalization formula for the Jack polynomials in superspace and an identity on partitions. (English) Zbl 1189.05172 Electron. J. Comb. 16, No. 1, Research Paper R70, 24 p. (2009). Reviewer: Vesselin Drensky (Sofia) MSC: 05E05 05A15 05A19 05A17 33Cxx 33D52 81S05 PDF BibTeX XML Cite \textit{L. Lapointe} et al., Electron. J. Comb. 16, No. 1, Research Paper R70, 24 p. (2009; Zbl 1189.05172) Full Text: EMIS EuDML arXiv
Kakei, Saburo; Nishizawa, Michitomo; Saito, Yoshihisa; Takeyama, Yoshihiro The rational qKZ equation and shifted non-symmetric Jack polynomials. (English) Zbl 1163.39305 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 010, 12 p. (2009). MSC: 39A13 33C52 81R50 PDF BibTeX XML Cite \textit{S. Kakei} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 010, 12 p. (2009; Zbl 1163.39305) Full Text: DOI EuDML arXiv
Graham, William; Hunziker, Markus Multiplication of polynomials on Hermitian symmetric spaces and Littlewood-Richardson coefficients. (English) Zbl 1206.14071 Can. J. Math. 61, No. 2, 351-372 (2009). Reviewer: Vladimir L. Popov (Moskva) MSC: 14L30 22E46 PDF BibTeX XML Cite \textit{W. Graham} and \textit{M. Hunziker}, Can. J. Math. 61, No. 2, 351--372 (2009; Zbl 1206.14071) Full Text: DOI arXiv
Dunkl, Charles F. Transforms, polynomials and integrable models associated with reflection groups. (English) Zbl 1168.44301 Hilgert, Joachim (ed.) et al., Proceedings of the fourth German-Japanese symposium on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, September 10–14, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-281-8/hbk). 47-62 (2009). MSC: 44A15 81R15 PDF BibTeX XML Cite \textit{C. F. Dunkl}, in: Proceedings of the fourth German-Japanese symposium on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, September 10--14, 2007. Hackensack, NJ: World Scientific. 47--62 (2009; Zbl 1168.44301)
Dunkl, Charles F. Reflection groups in analysis and applications. (English) Zbl 1191.33006 Jpn. J. Math. (3) 3, No. 2, 215-246 (2008). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C52 20F55 33D80 42C05 81R12 05E05 PDF BibTeX XML Cite \textit{C. F. Dunkl}, Jpn. J. Math. (3) 3, No. 2, 215--246 (2008; Zbl 1191.33006) Full Text: DOI
Dunkl, Charles F. Some orthogonal polynomials in four variables. (English) Zbl 1163.33310 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 082, 9 p. (2008). MSC: 33C52 05E35 37J35 PDF BibTeX XML Cite \textit{C. F. Dunkl}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 082, 9 p. (2008; Zbl 1163.33310) Full Text: DOI EuDML arXiv
Lassalle, Michel A positivity conjecture for Jack polynomials. (English) Zbl 1173.33311 Math. Res. Lett. 15, No. 4, 661-681 (2008). Reviewer: Adem Kilicman (Serdang Selangor) MSC: 33D52 33B99 PDF BibTeX XML Cite \textit{M. Lassalle}, Math. Res. Lett. 15, No. 4, 661--681 (2008; Zbl 1173.33311) Full Text: DOI
Belbachir, H.; Boussicault, A.; Luque, J.-G. Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde. (English) Zbl 1168.33002 J. Algebra 320, No. 11, 3911-3925 (2008). Reviewer: B. Döring (Düsseldorf) MSC: 33C80 05E05 05A10 15A15 PDF BibTeX XML Cite \textit{H. Belbachir} et al., J. Algebra 320, No. 11, 3911--3925 (2008; Zbl 1168.33002) Full Text: DOI
Warnaar, S. Ole On the generalised Selberg integral of Richards and Zheng. (English) Zbl 1134.33003 Adv. Appl. Math. 40, No. 2, 212-218 (2008). MSC: 33B15 05E05 PDF BibTeX XML Cite \textit{S. O. Warnaar}, Adv. Appl. Math. 40, No. 2, 212--218 (2008; Zbl 1134.33003) Full Text: DOI arXiv
Fournier, Richard; Serban, Marius An extension of Jack’s Lemma to polynomials of fixed degree. (English) Zbl 1135.30310 Comput. Methods Funct. Theory 7, No. 2, 371-378 (2007). MSC: 30C80 30C10 PDF BibTeX XML Cite \textit{R. Fournier} and \textit{M. Serban}, Comput. Methods Funct. Theory 7, No. 2, 371--378 (2007; Zbl 1135.30310) Full Text: DOI Link
Roberts, Leigh Towards a parsimonious calculation of Jack polynomials. (English) Zbl 1138.05072 Int. J. Pure Appl. Math. 39, No. 2, 173-189 (2007). Reviewer: Vesselin Drensky (Sofia) MSC: 05E05 PDF BibTeX XML Cite \textit{L. Roberts}, Int. J. Pure Appl. Math. 39, No. 2, 173--189 (2007; Zbl 1138.05072)
Sahi, Siddhartha; Zhang, Genkai Biorthogonal expansion of non-symmetric Jack functions. (English) Zbl 1150.33004 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 106, 9 p. (2007). Reviewer: Adem Kilicman (Mengabang Telipot) MSC: 33C52 33C67 43A90 PDF BibTeX XML Cite \textit{S. Sahi} and \textit{G. Zhang}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 106, 9 p. (2007; Zbl 1150.33004) Full Text: DOI EMIS EuDML arXiv
Mangazeev, Vladimir V. An analytic formula for the \(A_2\) Jack polynomials. (English) Zbl 1193.33062 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 014, 11 p. (2007). MSC: 33C52 05E05 33C70 81R12 82B23 PDF BibTeX XML Cite \textit{V. V. Mangazeev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 014, 11 p. (2007; Zbl 1193.33062) Full Text: DOI EMIS EuDML arXiv
Caro-Lopera, Francisco J.; Díaz-García, José A.; González-Farías, Graciela A formula for Jack polynomials of the second order. (English) Zbl 1162.33005 Appl. Math. 34, No. 1, 113-119 (2007). MSC: 33C52 05E05 35C05 PDF BibTeX XML Cite \textit{F. J. Caro-Lopera} et al., Appl. Math. 34, No. 1, 113--119 (2007; Zbl 1162.33005) Full Text: DOI
Desrosiers, Patrick; Lapointe, Luc; Mathieu, Pierre Orthogonality of Jack polynomials in superspace. (English) Zbl 1123.05092 Adv. Math. 212, No. 1, 361-388 (2007). Reviewer: Vesselin Drensky (Sofia) MSC: 05E05 05E35 33D52 81Q60 PDF BibTeX XML Cite \textit{P. Desrosiers} et al., Adv. Math. 212, No. 1, 361--388 (2007; Zbl 1123.05092) Full Text: DOI arXiv
Dunkl, Charles F. Hook-lengths and pairs of compositions. (English) Zbl 1155.05060 J. Comput. Appl. Math. 199, No. 1, 39-47 (2007). MSC: 05E10 05E35 33C52 PDF BibTeX XML Cite \textit{C. F. Dunkl}, J. Comput. Appl. Math. 199, No. 1, 39--47 (2007; Zbl 1155.05060) Full Text: DOI arXiv
Feigin, B.; Feigin, E. Principal subspace for the bosonic vertex operator \(\phi_{\sqrt {2m}}(z)\) and Jack polynomials. (English) Zbl 1201.17017 Adv. Math. 206, No. 2, 307-328 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B69 33D52 PDF BibTeX XML Cite \textit{B. Feigin} and \textit{E. Feigin}, Adv. Math. 206, No. 2, 307--328 (2006; Zbl 1201.17017) Full Text: DOI arXiv
Regev, Amitai Bijections for identities of multisets of hook numbers. (English) Zbl 1099.05080 Arad, Zvi (ed.) et al., Ischia group theory 2004. Proceedings of a conference in honor of Marcel Herzog, Naples, Italy, March 31–April 03, 2004. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 0-8218-3711-7/pbk). Contemporary Mathematics 402. Israel Mathematical Conference Proceedings, 219-227 (2006). Reviewer: Vesselin Drensky (Sofia) MSC: 05E10 05A17 05A19 PDF BibTeX XML Cite \textit{A. Regev}, Contemp. Math. 402, 219--227 (2006; Zbl 1099.05080)
Lassalle, Michel; Schlosser, Michael Inversion of the Pieri formula for Macdonald polynomials. (English) Zbl 1106.33015 Adv. Math. 202, No. 2, 289-325 (2006). Reviewer: Christian Krattenthaler (Wien) MSC: 33D52 05E05 15A09 PDF BibTeX XML Cite \textit{M. Lassalle} and \textit{M. Schlosser}, Adv. Math. 202, No. 2, 289--325 (2006; Zbl 1106.33015) Full Text: DOI arXiv
Dunkl, Charles F. Singular polynomials and modules for the symmetric groups. (English) Zbl 1102.33012 Int. Math. Res. Not. 2005, No. 39, 2409-2436 (2005). Reviewer: Margit Roesler (Clausthal-Zellerfeld) MSC: 33C52 05E10 20C30 33C67 PDF BibTeX XML Cite \textit{C. F. Dunkl}, Int. Math. Res. Not. 2005, No. 39, 2409--2436 (2005; Zbl 1102.33012) Full Text: DOI arXiv
Haglund, J.; Haiman, M.; Loehr, N. A combinatorial formula for Macdonald polynomials. (English) Zbl 1061.05101 J. Am. Math. Soc. 18, No. 3, 735-761 (2005). MSC: 05E10 05A30 PDF BibTeX XML Cite \textit{J. Haglund} et al., J. Am. Math. Soc. 18, No. 3, 735--761 (2005; Zbl 1061.05101) Full Text: DOI
Sergeev, A. N.; Veselov, A. P. Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. (English) Zbl 1069.05076 Adv. Math. 192, No. 2, 341-375 (2005). MSC: 05E05 81R12 33D45 PDF BibTeX XML Cite \textit{A. N. Sergeev} and \textit{A. P. Veselov}, Adv. Math. 192, No. 2, 341--375 (2005; Zbl 1069.05076) Full Text: DOI
Desrosiers, Patrick; Lapointe, Luc; Mathieu, Pierre Supersymmetric Calogero-Moser-Sutherland models: superintegrability structure and eigenfunctions. (English) Zbl 1068.05068 Tempesta, P. (ed.) et al., Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002 . Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3329-4/pbk). CRM Proceedings and Lecture Notes 37, 109-124 (2004). MSC: 05E05 05E35 05A17 70F10 35Q40 PDF BibTeX XML Cite \textit{P. Desrosiers} et al., in: Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16--21, 2002. Providence, RI: American Mathematical Society (AMS). 109--124 (2004; Zbl 1068.05068)
Englis, Miroslav; Zhang, Genkai On the Faraut-Koranyi hypergeometric functions in rank two. (English) Zbl 1079.33010 Ann. Inst. Fourier 54, No. 6, 1855-1875 (2004). Reviewer: Margit Roesler (Darmstadt) MSC: 33C67 32M15 PDF BibTeX XML Cite \textit{M. Englis} and \textit{G. Zhang}, Ann. Inst. Fourier 54, No. 6, 1855--1875 (2004; Zbl 1079.33010) Full Text: DOI Numdam EuDML
Li, Wei-Ping; Qin, Zhenbo; Wang, Weiqiang The cohomology rings of Hilbert schemes via Jack polynomials. (English) Zbl 1104.14002 Hurtubise, Jacques (ed.) et al., Algebraic structures and moduli spaces. Proceedings of the CRM workshop, Montréal, Canada, July 14-20, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3568-8/pbk). CRM Proceedings & Lecture Notes 38, 249-258 (2004). Reviewer: Nikolai I. Osetinski (Moskva) MSC: 14C05 05E05 14F43 PDF BibTeX XML Cite \textit{W.-P. Li} et al., in: Algebraic structures and moduli spaces. Proceedings of the CRM workshop, Montréal, Canada, July 14-20, 2003. Providence, RI: American Mathematical Society (AMS). 249--258 (2004; Zbl 1104.14002) Full Text: arXiv
Dunkl, Charles F. Singular polynomials for the symmetric groups. (English) Zbl 1078.33017 Int. Math. Res. Not. 2004, No. 67, 3607-3635 (2004). Reviewer: Giovanna Carnovale (Padova) MSC: 33D52 05E10 20C30 PDF BibTeX XML Cite \textit{C. F. Dunkl}, Int. Math. Res. Not. 2004, No. 67, 3607--3635 (2004; Zbl 1078.33017) Full Text: DOI arXiv
Lassalle, Michel Jack polynomials and some identities for partitions. (English) Zbl 1043.05005 Trans. Am. Math. Soc. 356, No. 9, 3455-3476 (2004). MSC: 05A10 05A17 05E05 33C52 33C80 PDF BibTeX XML Cite \textit{M. Lassalle}, Trans. Am. Math. Soc. 356, No. 9, 3455--3476 (2004; Zbl 1043.05005) Full Text: DOI
Dolan, F. A.; Osborn, H. Conformal partial waves and the operator product expansion. (English) Zbl 1097.81735 Nucl. Phys., B 678, No. 1-2, 491-507 (2004). MSC: 81T40 33C90 PDF BibTeX XML Cite \textit{F. A. Dolan} and \textit{H. Osborn}, Nucl. Phys., B 678, No. 1--2, 491--507 (2004; Zbl 1097.81735) Full Text: DOI arXiv
Kuznetsov, Vadim B.; Mangazeev, Vladimir V.; Sklyanin, Evgeny K. \(Q\)-operator and factorised separation chain for Jack polynomials. (English) Zbl 1057.33011 Indag. Math., New Ser. 14, No. 3-4, 451-482 (2003). Reviewer: Samuel James Patterson (Göttingen) MSC: 33C70 37K10 PDF BibTeX XML Cite \textit{V. B. Kuznetsov} et al., Indag. Math., New Ser. 14, No. 3--4, 451--482 (2003; Zbl 1057.33011) Full Text: DOI arXiv
Davidson, Mark; Ólafsson, Gestur; Zhang, Genkai Laplace and Segal–Bargmann transforms on Hermitian symmetric spaces and orthogonal polynomials. (English) Zbl 1035.32014 J. Funct. Anal. 204, No. 1, 157-195 (2003). MSC: 32M15 44A10 43A85 33C80 PDF BibTeX XML Cite \textit{M. Davidson} et al., J. Funct. Anal. 204, No. 1, 157--195 (2003; Zbl 1035.32014) Full Text: DOI arXiv
Marshall, Dan The product of a nonsymmetric Jack polynomial with a linear function. (English) Zbl 1075.33006 Proc. Am. Math. Soc. 131, No. 6, 1817-1827 (2003). Reviewer: Fabio Scarabotti (Roma) MSC: 33C45 05A10 05E05 05E10 PDF BibTeX XML Cite \textit{D. Marshall}, Proc. Am. Math. Soc. 131, No. 6, 1817--1827 (2003; Zbl 1075.33006) Full Text: DOI
Adler, M.; Kuznetsov, V. B.; van Moerbeke, P. Rational solutions to the Pfaff lattice and Jack polynomials. (English) Zbl 1021.37034 Ergodic Theory Dyn. Syst. 22, No. 5, 1365-1405 (2002). Reviewer: J.Denzler (Knoxville) MSC: 37J35 37K10 05E05 05A17 PDF BibTeX XML Cite \textit{M. Adler} et al., Ergodic Theory Dyn. Syst. 22, No. 5, 1365--1405 (2002; Zbl 1021.37034) Full Text: DOI