Min, Chao; Chen, Yang Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi-classical Laguerre polynomials and their Hankel determinants. (English) Zbl 07793771 Math. Methods Appl. Sci. 46, No. 14, 15270-15284 (2023). MSC: 42C05 33C45 33D45 33E17 41A60 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Math. Methods Appl. Sci. 46, No. 14, 15270--15284 (2023; Zbl 07793771) Full Text: DOI arXiv
Wang, Yuxi; Zhu, Mengkun; Chen, Yang The smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weight. (English) Zbl 07748569 Proc. Am. Math. Soc. 151, No. 12, 5345-5352 (2023). Reviewer: Sabrine Arfaoui (Bizerte) MSC: 15A18 15B52 15B05 33C45 47B35 42C05 41A60 PDFBibTeX XMLCite \textit{Y. Wang} et al., Proc. Am. Math. Soc. 151, No. 12, 5345--5352 (2023; Zbl 07748569) Full Text: DOI
Wang, Dan; Zhu, Mengkun; Chen, Yang A singular linear statistic for a perturbed LUE and the Hankel matrices. (English) Zbl 1520.33008 J. Math. Phys. 64, No. 8, Article ID 083507, 23 p. (2023). MSC: 33C45 34M55 37J65 37J38 PDFBibTeX XMLCite \textit{D. Wang} et al., J. Math. Phys. 64, No. 8, Article ID 083507, 23 p. (2023; Zbl 1520.33008) Full Text: DOI
Min, Chao; Chen, Yang Hankel determinant and orthogonal polynomials for a perturbed Gaussian weight: from finite \(n\) to large \(n\) asymptotics. (English) Zbl 1520.33006 J. Math. Phys. 64, No. 8, Article ID 083503, 20 p. (2023). MSC: 33C45 37J38 37J65 34M30 34M55 15B52 15A15 42C05 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, J. Math. Phys. 64, No. 8, Article ID 083503, 20 p. (2023; Zbl 1520.33006) Full Text: DOI arXiv
Yu, Jianduo; Chen, Siqi; Li, Chuanzhong; Zhu, Mengkun; Chen, Yang Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble. (English) Zbl 1520.37050 J. Math. Phys. 64, No. 8, Article ID 083501, 22 p. (2023). MSC: 37J65 37J38 15B52 15A15 60B20 33C47 33C45 PDFBibTeX XMLCite \textit{J. Yu} et al., J. Math. Phys. 64, No. 8, Article ID 083501, 22 p. (2023; Zbl 1520.37050) Full Text: DOI
Wang, Dan; Zhu, Mengkun; Chen, Yang The Jacobi-type polynomials and general Heun equations. (English) Zbl 1525.33009 Appl. Math. Lett. 144, Article ID 108694, 9 p. (2023). Reviewer: Jose Javier Segura Sala (Santander) MSC: 33C45 30E15 34A05 PDFBibTeX XMLCite \textit{D. Wang} et al., Appl. Math. Lett. 144, Article ID 108694, 9 p. (2023; Zbl 1525.33009) Full Text: DOI
Lyu, Shulin; Chen, Yang; Xu, Shuai-Xia Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system. (English) Zbl 1518.35523 Physica D 449, Article ID 133755, 14 p. (2023). MSC: 35Q15 37K10 37K35 34M55 33C45 39A14 PDFBibTeX XMLCite \textit{S. Lyu} et al., Physica D 449, Article ID 133755, 14 p. (2023; Zbl 1518.35523) Full Text: DOI arXiv
Min, Chao; Cheng, Yuan; Chen, Yang Differential and difference equations for recurrence coefficients of orthogonal polynomials with a singularly perturbed Laguerre-type weight. (English) Zbl 07679785 Proc. Am. Math. Soc. 151, No. 7, 2989-2996 (2023). MSC: 33C45 33E30 42C05 41A60 PDFBibTeX XMLCite \textit{C. Min} et al., Proc. Am. Math. Soc. 151, No. 7, 2989--2996 (2023; Zbl 07679785) Full Text: DOI arXiv
Chen, Yang; Filipuk, Galina; das Neves Rebocho, Maria A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight. (English) Zbl 1512.39002 Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 111-118 (2023). Reviewer: Vitaliy Volchkov (Donetsk) MSC: 39A10 33C47 33C45 11B37 PDFBibTeX XMLCite \textit{Y. Chen} et al., Contemp. Math. 782, 111--118 (2023; Zbl 1512.39002) Full Text: DOI
Min, Chao; Wang, Liwei; Chen, Yang Asymptotic Properties of Some Freud Polynomials. arXiv:2308.03246 Preprint, arXiv:2308.03246 [math.CA] (2023). MSC: 33C45 42C05 41A60 BibTeX Cite \textit{C. Min} et al., ``Asymptotic Properties of Some Freud Polynomials'', Preprint, arXiv:2308.03246 [math.CA] (2023) Full Text: arXiv OA License
Chen, Yang; Lyu, Shulin Gaussian Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlevé IV System. arXiv:2304.04127 Preprint, arXiv:2304.04127 [math-ph] (2023). MSC: 15B52 33E17 42C05 BibTeX Cite \textit{Y. Chen} and \textit{S. Lyu}, ``Gaussian Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlev\'{e} IV System'', Preprint, arXiv:2304.04127 [math-ph] (2023) Full Text: arXiv OA License
Dissanayake, Pasan; Dharmawansa, Prathapasinghe; Chen, Yang Distribution of the scaled condition number of single-spiked complex Wishart matrices. (English) Zbl 07817793 IEEE Trans. Inf. Theory 68, No. 10, 6716-6737 (2022). MSC: 94-XX PDFBibTeX XMLCite \textit{P. Dissanayake} et al., IEEE Trans. Inf. Theory 68, No. 10, 6716--6737 (2022; Zbl 07817793) Full Text: DOI arXiv
Han, Pengju; Chen, Yang Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants. (English) Zbl 07667350 J. Math. Phys. 63, No. 7, Article ID 071506, 12 p. (2022). MSC: 33C45 33C90 15A15 60B20 15B52 PDFBibTeX XMLCite \textit{P. Han} and \textit{Y. Chen}, J. Math. Phys. 63, No. 7, Article ID 071506, 12 p. (2022; Zbl 07667350) Full Text: DOI
Yu, Jianduo; Li, Chuanzhong; Zhu, Mengkun; Chen, Yang Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues. (English) Zbl 1508.34121 J. Math. Phys. 63, No. 6, Article ID 063504, 25 p. (2022). MSC: 34M60 34M55 15B05 33C47 33C45 PDFBibTeX XMLCite \textit{J. Yu} et al., J. Math. Phys. 63, No. 6, Article ID 063504, 25 p. (2022; Zbl 1508.34121) Full Text: DOI
Min, Chao; Chen, Yang A note on the asymptotics of the Hankel determinant associated with time-dependent Jacobi polynomials. (English) Zbl 1482.42069 Proc. Am. Math. Soc. 150, No. 4, 1719-1728 (2022). MSC: 42C05 41A60 33E17 34M55 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Proc. Am. Math. Soc. 150, No. 4, 1719--1728 (2022; Zbl 1482.42069) Full Text: DOI
Min, Chao; Chen, Yang Semi-classical Jacobi polynomials, Hankel determinants and asymptotics. (English) Zbl 1492.42027 Anal. Math. Phys. 12, No. 1, Paper No. 8, 25 p. (2022). Reviewer: Manuel D. Domínguez de la Iglesia (Ciudad de México) MSC: 42C05 33C45 41A60 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Anal. Math. Phys. 12, No. 1, Paper No. 8, 25 p. (2022; Zbl 1492.42027) Full Text: DOI arXiv
Wang, Dan; Zhu, Mengkun; Chen, Yang The smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weight. (English) Zbl 1477.15032 Proc. Am. Math. Soc. 150, No. 1, 153-160 (2022). MSC: 15B52 15B05 15A18 PDFBibTeX XMLCite \textit{D. Wang} et al., Proc. Am. Math. Soc. 150, No. 1, 153--160 (2022; Zbl 1477.15032) Full Text: DOI
Han, Pengju; Chen, Yang A degenerate Gaussian weight connected with Painlevé equations and Heun equations. (English) Zbl 07762525 Random Matrices Theory Appl. 10, No. 4, Article ID 2150034, 32 p. (2021). MSC: 33E17 33C45 33C47 34M55 15B52 60B20 PDFBibTeX XMLCite \textit{P. Han} and \textit{Y. Chen}, Random Matrices Theory Appl. 10, No. 4, Article ID 2150034, 32 p. (2021; Zbl 07762525) Full Text: DOI
Hu, Jie; Filipuk, Galina; Chen, Yang Differential and difference equations for recurrence coefficients of orthogonal polynomials with hypergeometric weights and Bäcklund transformations of the sixth Painlevé equation. (English) Zbl 1498.33011 Random Matrices Theory Appl. 10, No. 3, Article ID 2150029, 17 p. (2021). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 34M55 39A99 42C05 PDFBibTeX XMLCite \textit{J. Hu} et al., Random Matrices Theory Appl. 10, No. 3, Article ID 2150029, 17 p. (2021; Zbl 1498.33011) Full Text: DOI
Zhu, Mengkun; Li, Chuanzhong; Chen, Yang Painlevé V for a Jacobi unitary ensemble with random singularities. (English) Zbl 1485.34214 Appl. Math. Lett. 120, Article ID 107242, 6 p. (2021). Reviewer: Yousuke Ohyama (Tokushima) MSC: 34M55 33C47 PDFBibTeX XMLCite \textit{M. Zhu} et al., Appl. Math. Lett. 120, Article ID 107242, 6 p. (2021; Zbl 1485.34214) Full Text: DOI arXiv
Lyu, Shulin; Chen, Yang The smallest eigenvalue distribution of the Jacobi unitary ensembles. (English) Zbl 1472.60011 Math. Methods Appl. Sci. 44, No. 13, 10121-10134 (2021). MSC: 60B20 15A18 15B52 34E05 41A60 42C05 PDFBibTeX XMLCite \textit{S. Lyu} and \textit{Y. Chen}, Math. Methods Appl. Sci. 44, No. 13, 10121--10134 (2021; Zbl 1472.60011) Full Text: DOI arXiv
Zhu, Mengkun; Wang, Dan; Chen, Yang Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities. (English) Zbl 1472.37062 Anal. Math. Phys. 11, No. 3, Paper No. 131, 19 p. (2021). MSC: 37J37 37J65 34M55 15B52 42C05 33E17 PDFBibTeX XMLCite \textit{M. Zhu} et al., Anal. Math. Phys. 11, No. 3, Paper No. 131, 19 p. (2021; Zbl 1472.37062) Full Text: DOI
Min, Chao; Chen, Yang Differential, difference, and asymptotic relations for Pollaczek-Jacobi type orthogonal polynomials and their Hankel determinants. (English) Zbl 1471.42059 Stud. Appl. Math. 147, No. 1, 390-416 (2021). MSC: 42C05 81Q12 41A60 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Stud. Appl. Math. 147, No. 1, 390--416 (2021; Zbl 1471.42059) Full Text: DOI arXiv
Lyu, Shulin; Min, Chao; Chen, Yang Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble. (English) Zbl 1468.81045 J. Math. Phys. 62, No. 6, Article ID 063302, 12 p. (2021). MSC: 81Q10 81Q12 15B52 15A18 42C05 41A81 PDFBibTeX XMLCite \textit{S. Lyu} et al., J. Math. Phys. 62, No. 6, Article ID 063302, 12 p. (2021; Zbl 1468.81045) Full Text: DOI arXiv
Lyu, Shulin; Chen, Yang Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems. (English) Zbl 1472.82002 Stud. Appl. Math. 146, No. 1, 118-138 (2021). MSC: 82B05 15A15 15B52 33E17 33C45 42C05 34M55 PDFBibTeX XMLCite \textit{S. Lyu} and \textit{Y. Chen}, Stud. Appl. Math. 146, No. 1, 118--138 (2021; Zbl 1472.82002) Full Text: DOI arXiv
Zhu, Mengkun; Wang, Dan; Chen, Yang Painlevé IV, \(\sigma \)-form, and the deformed Hermite unitary ensembles. (English) Zbl 1461.42019 J. Math. Phys. 62, No. 3, Article ID 033508, 17 p. (2021). MSC: 42C05 15B52 33C45 34M55 PDFBibTeX XMLCite \textit{M. Zhu} et al., J. Math. Phys. 62, No. 3, Article ID 033508, 17 p. (2021; Zbl 1461.42019) Full Text: DOI arXiv
Min, Chao; Chen, Yang Global and Local Scaling Limits for Linear Eigenvalue Statistics of Jacobi \(\beta\)-Ensembles. arXiv:2111.05661 Preprint, arXiv:2111.05661 [math-ph] (2021). MSC: 60B20 47A53 33C45 BibTeX Cite \textit{C. Min} and \textit{Y. Chen}, ``Global and Local Scaling Limits for Linear Eigenvalue Statistics of Jacobi $\beta$-Ensembles'', Preprint, arXiv:2111.05661 [math-ph] (2021) Full Text: DOI arXiv OA License
Hu, Jie; Dzhamay, Anton; Chen, Yang Gap probabilities in the Laguerre unitary ensemble and discrete Painlevé equations. (English) Zbl 1519.39016 J. Phys. A, Math. Theor. 53, No. 35, Article ID 354003, 18 p. (2020). MSC: 39A36 39A12 15B52 34M55 33C45 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Phys. A, Math. Theor. 53, No. 35, Article ID 354003, 18 p. (2020; Zbl 1519.39016) Full Text: DOI arXiv
Wang, Dan; Zhu, Mengkun; Chen, Yang Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights. (English) Zbl 1465.33009 J. Difference Equ. Appl. 26, No. 7, 1000-1012 (2020). Reviewer: María-José Cantero (Zaragoza) MSC: 33C47 34M55 35C20 65Q99 PDFBibTeX XMLCite \textit{D. Wang} et al., J. Difference Equ. Appl. 26, No. 7, 1000--1012 (2020; Zbl 1465.33009) Full Text: DOI
Wang, Dan; Zhu, Mengkun; Chen, Yang On semiclassical orthogonal polynomials associated with a Freud-type weight. (English) Zbl 1457.33006 Math. Methods Appl. Sci. 43, No. 8, 5295-5313 (2020). Reviewer: Teresa E. Pérez (Granada) MSC: 33C47 34M55 35C20 65Q99 PDFBibTeX XMLCite \textit{D. Wang} et al., Math. Methods Appl. Sci. 43, No. 8, 5295--5313 (2020; Zbl 1457.33006) Full Text: DOI
Blower, Gordon; Chen, Yang On determinant expansions for Hankel operators. (English) Zbl 1443.47030 Concr. Oper. 7, 13-44 (2020). MSC: 47B35 PDFBibTeX XMLCite \textit{G. Blower} and \textit{Y. Chen}, Concr. Oper. 7, 13--44 (2020; Zbl 1443.47030) Full Text: DOI arXiv
Min, Chao; Chen, Yang Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble. (English) Zbl 1440.15038 Random Matrices Theory Appl. 9, No. 2, Article ID 2050016, 22 p. (2020). MSC: 15B52 33E17 34M55 37J65 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Random Matrices Theory Appl. 9, No. 2, Article ID 2050016, 22 p. (2020; Zbl 1440.15038) Full Text: DOI arXiv
Chen, Yang; Filipuk, Galina; das Neves Rebocho, Maria Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equation sand asymptotics. (English) Zbl 1442.39001 Jaen J. Approx. 11, No. 1-2, 47-65 (2019). MSC: 39A05 39A12 37K35 33C47 42C05 PDFBibTeX XMLCite \textit{Y. Chen} et al., Jaen J. Approx. 11, No. 1--2, 47--65 (2019; Zbl 1442.39001) Full Text: Link
Chen, Yang; Sikorowski, Jakub; Zhu, Mengkun Smallest eigenvalue of large Hankel matrices at critical point: comparing conjecture with parallelised computation. (English) Zbl 1433.15038 Appl. Math. Comput. 363, Article ID 124628, 18 p. (2019). MSC: 15B57 34E05 42C05 65F15 65Y05 15A18 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Comput. 363, Article ID 124628, 18 p. (2019; Zbl 1433.15038) Full Text: DOI arXiv
Chen, Yang; Filipuk, Galina; Zhan, Longjun Orthogonal polynomials, asymptotics, and Heun equations. (English) Zbl 1427.42031 J. Math. Phys. 60, No. 11, 113501, 34 p. (2019). MSC: 42C05 34M55 30E05 47B35 33C05 33C15 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Math. Phys. 60, No. 11, 113501, 34 p. (2019; Zbl 1427.42031) Full Text: DOI arXiv
Chen, Min; Chen, Yang; Fan, En-Gui The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. (English) Zbl 1426.33025 Stud. Appl. Math. 143, No. 1, 42-80 (2019). MSC: 33C45 33C10 41A60 34M55 PDFBibTeX XMLCite \textit{M. Chen} et al., Stud. Appl. Math. 143, No. 1, 42--80 (2019; Zbl 1426.33025) Full Text: DOI
Zhu, Mengkun; Chen, Yang On properties of a deformed Freud weight. (English) Zbl 1426.33035 Random Matrices Theory Appl. 8, No. 1, Article ID 1950004, 36 p. (2019). MSC: 33C47 34M55 60B20 65Q30 PDFBibTeX XMLCite \textit{M. Zhu} and \textit{Y. Chen}, Random Matrices Theory Appl. 8, No. 1, Article ID 1950004, 36 p. (2019; Zbl 1426.33035) Full Text: DOI arXiv
Zhu, Mengkun; Emmart, Niall; Chen, Yang; Weems, Charles The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight. (English) Zbl 1416.15033 Math. Methods Appl. Sci. 42, No. 9, 3272-3288 (2019). MSC: 15B57 34E05 42C05 65F15 65Y05 PDFBibTeX XMLCite \textit{M. Zhu} et al., Math. Methods Appl. Sci. 42, No. 9, 3272--3288 (2019; Zbl 1416.15033) Full Text: DOI arXiv
Min, Chao; Chen, Yang Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight. (English) Zbl 1409.33018 Math. Methods Appl. Sci. 42, No. 1, 301-321 (2019). MSC: 33E17 15B52 42C05 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Math. Methods Appl. Sci. 42, No. 1, 301--321 (2019; Zbl 1409.33018) Full Text: DOI arXiv
Lyu, Shulin; Griffin, James; Chen, Yang The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble. (English) Zbl 1417.15052 J. Nonlinear Math. Phys. 26, No. 1, 24-53 (2019). MSC: 15B52 42C05 PDFBibTeX XMLCite \textit{S. Lyu} et al., J. Nonlinear Math. Phys. 26, No. 1, 24--53 (2019; Zbl 1417.15052) Full Text: DOI
Zhu, Mengkun; Chen, Yang; Emmart, Niall; Weems, Charles The smallest eigenvalue of large Hankel matrices. (English) Zbl 1427.15015 Appl. Math. Comput. 334, 375-387 (2018). MSC: 15A18 15A42 15B52 44A60 PDFBibTeX XMLCite \textit{M. Zhu} et al., Appl. Math. Comput. 334, 375--387 (2018; Zbl 1427.15015) Full Text: DOI arXiv
Branquinho, A.; Chen, Y.; Filipuk, G.; Rebocho, M. N. A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices. (English) Zbl 1427.33004 Appl. Math. Comput. 334, 356-366 (2018). MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Appl. Math. Comput. 334, 356--366 (2018; Zbl 1427.33004) Full Text: DOI Link
Zhan, Longjun; Blower, Gordon; Chen, Yang; Zhu, Mengkun Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions. (English) Zbl 1402.60012 J. Math. Phys. 59, No. 10, 103301, 27 p. (2018). MSC: 60B20 15B52 76W05 34M55 54E05 33E17 33C45 PDFBibTeX XMLCite \textit{L. Zhan} et al., J. Math. Phys. 59, No. 10, 103301, 27 p. (2018; Zbl 1402.60012) Full Text: DOI arXiv Link
Min, Chao; Lyu, Shulin; Chen, Yang Painlevé III’ and the Hankel determinant generated by a singularly perturbed Gaussian weight. (English) Zbl 1400.33020 Nucl. Phys., B 936, 169-188 (2018). MSC: 33C47 34M55 34E05 34D15 60B20 PDFBibTeX XMLCite \textit{C. Min} et al., Nucl. Phys., B 936, 169--188 (2018; Zbl 1400.33020) Full Text: DOI arXiv
Chen, Hongmei; Filipuk, Galina; Chen, Yang Nonlinear difference equations arising from the generalized Stieltjes-Wigert and \(q\)-Laguerre weights. (English) Zbl 1387.33015 Math. Methods Appl. Sci. 41, No. 6, 2442-2465 (2018). MSC: 33C47 34E05 39A60 PDFBibTeX XMLCite \textit{H. Chen} et al., Math. Methods Appl. Sci. 41, No. 6, 2442--2465 (2018; Zbl 1387.33015) Full Text: DOI
Chen, Hongmei; Filipuk, Galina; Chen, Yang Nonlinear difference equations for the generalized little \(q\)-Laguerre polynomials. (English) Zbl 1381.33014 J. Difference Equ. Appl. 23, No. 12, 1943-1973 (2017). MSC: 33C45 33C47 34E05 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Difference Equ. Appl. 23, No. 12, 1943--1973 (2017; Zbl 1381.33014) Full Text: DOI
Lyu, Shulin; Chen, Yang The largest eigenvalue distribution of the Laguerre unitary ensemble. (English) Zbl 1389.33006 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 2, 439-462 (2017). MSC: 33C45 34M55 PDFBibTeX XMLCite \textit{S. Lyu} and \textit{Y. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 2, 439--462 (2017; Zbl 1389.33006) Full Text: DOI arXiv
Han, Pengju; Chen, Yang The recurrence coefficients of a semi-classical Laguerre polynomials and the large \(n\) asymptotics of the associated Hankel determinant. (English) Zbl 1376.33017 Random Matrices Theory Appl. 6, No. 4, Article ID 1740002, 20 p. (2017). MSC: 33C47 34M55 35C20 PDFBibTeX XMLCite \textit{P. Han} and \textit{Y. Chen}, Random Matrices Theory Appl. 6, No. 4, Article ID 1740002, 20 p. (2017; Zbl 1376.33017) Full Text: DOI
Min, Chao; Chen, Yang On the variance of linear statistics of Hermitian random matrices. (English) Zbl 1371.60024 Acta Phys. Pol. B 47, No. 4, 1127-1146 (2016). MSC: 60B20 33C45 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Acta Phys. Pol. B 47, No. 4, 1127--1146 (2016; Zbl 1371.60024) Full Text: DOI arXiv
Blower, Gordon; Chen, Yang Kernels and point processes associated with Whittaker functions. (English) Zbl 1348.60074 J. Math. Phys. 57, No. 9, 093505, 17 p. (2016). MSC: 60G55 60B20 33C15 33C45 15B52 47B35 PDFBibTeX XMLCite \textit{G. Blower} and \textit{Y. Chen}, J. Math. Phys. 57, No. 9, 093505, 17 p. (2016; Zbl 1348.60074) Full Text: DOI arXiv Link
Min, Chao; Chen, Yang Linear statistics of matrix ensembles in classical background. (English) Zbl 1370.15034 Math. Methods Appl. Sci. 39, No. 13, 3758-3790 (2016). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Math. Methods Appl. Sci. 39, No. 13, 3758--3790 (2016; Zbl 1370.15034) Full Text: DOI arXiv
Xu, Jian; Fan, Engui; Chen, Yang Large \(\mathrm{N}\)-limit for random matrices with external source with three distinct eigenvalues. (English) Zbl 1381.60023 Random Matrices Theory Appl. 5, No. 2, Article ID 1650005, 30 p. (2016). MSC: 60B20 30E25 33C45 34M50 34L20 PDFBibTeX XMLCite \textit{J. Xu} et al., Random Matrices Theory Appl. 5, No. 2, Article ID 1650005, 30 p. (2016; Zbl 1381.60023) Full Text: DOI arXiv
Chen, Min; Chen, Yang; Fan, Engui Perturbed Hankel determinant, correlation functions and Painlevé equations. (English) Zbl 1338.33020 J. Math. Phys. 57, No. 2, 023501, 31 p. (2016). MSC: 33C45 34M55 15A04 15A15 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Math. Phys. 57, No. 2, 023501, 31 p. (2016; Zbl 1338.33020) Full Text: DOI arXiv
Emmart, Niall; Chen, Yang; Weems, Charles C. Computing the smallest eigenvalue of large ill-conditioned Hankel matrices. (English) Zbl 1388.65034 Commun. Comput. Phys. 18, No. 1, 104-124 (2015). MSC: 65F15 15B52 65Y05 42C05 PDFBibTeX XMLCite \textit{N. Emmart} et al., Commun. Comput. Phys. 18, No. 1, 104--124 (2015; Zbl 1388.65034) Full Text: DOI arXiv
Chen, Yang; Griffin, James Deformed \(q^{-1}\)-Laguerre polynomials, recurrence coefficients, and non-linear difference equations. (English) Zbl 1371.33021 Acta Phys. Pol. B 46, No. 9, 1871-1881 (2015). MSC: 33C45 39A12 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Griffin}, Acta Phys. Pol. B 46, No. 9, 1871--1881 (2015; Zbl 1371.33021) Full Text: DOI
Basor, Estelle L.; Chen, Yang; Haq, Nazmus S. Asymptotics of determinants of Hankel matrices via non-linear difference equations. (English) Zbl 1326.33020 J. Approx. Theory 198, 63-110 (2015). MSC: 33C47 15B52 34E05 42C05 47B35 34A05 PDFBibTeX XMLCite \textit{E. L. Basor} et al., J. Approx. Theory 198, 63--110 (2015; Zbl 1326.33020) Full Text: DOI arXiv
Chen, Yang; Griffin, James Non linear difference equations arising from a deformation of the \(q\)-Laguerre weight. (English) Zbl 1310.39005 Indag. Math., New Ser. 26, No. 1, 266-279 (2015). MSC: 39A13 33D45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Griffin}, Indag. Math., New Ser. 26, No. 1, 266--279 (2015; Zbl 1310.39005) Full Text: DOI arXiv
Basor, Estelle; Chen, Yang; Zhang, Lun PDEs satisfied by extreme eigenvalues distributions of GUE and LUE. (English) Zbl 1288.60003 Random Matrices Theory Appl. 1, No. 1, 1150003, 21 p. (2012). MSC: 60B20 35P20 33C45 33E17 PDFBibTeX XMLCite \textit{E. Basor} et al., Random Matrices Theory Appl. 1, No. 1, 1150003, 21 p. (2012; Zbl 1288.60003) Full Text: DOI arXiv
Chen, Yang; Dai, Dan Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials. (English) Zbl 1221.33015 J. Approx. Theory 162, No. 12, 2149-2167 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 37K10 65Q30 34M55 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{D. Dai}, J. Approx. Theory 162, No. 12, 2149--2167 (2010; Zbl 1221.33015) Full Text: DOI arXiv
Chen, Yang; Ismail, Mourad E. H. Hypergeometric origins of Diophantine properties associated with the Askey scheme. (English) Zbl 1193.33016 Proc. Am. Math. Soc. 138, No. 3, 943-951 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C20 33C45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, Proc. Am. Math. Soc. 138, No. 3, 943--951 (2010; Zbl 1193.33016) Full Text: DOI arXiv
Basor, Estelle; Chen, Yang; Ehrhardt, Torsten Painlevé V and time-dependent Jacobi polynomials. (English) Zbl 1202.33030 J. Phys. A, Math. Theor. 43, No. 1, Article ID 015204, 25 p. (2010). Reviewer: Kyoichi Takano (Fuchinobe) MSC: 33E17 34M55 33C45 PDFBibTeX XMLCite \textit{E. Basor} et al., J. Phys. A, Math. Theor. 43, No. 1, Article ID 015204, 25 p. (2010; Zbl 1202.33030) Full Text: DOI arXiv
Basor, Estelle; Chen, Yang Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles. (English) Zbl 1161.81014 J. Phys. A, Math. Theor. 42, No. 3, Article ID 035203, 18 p. (2009). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q10 15B52 15A15 42C05 PDFBibTeX XMLCite \textit{E. Basor} and \textit{Y. Chen}, J. Phys. A, Math. Theor. 42, No. 3, Article ID 035203, 18 p. (2009; Zbl 1161.81014) Full Text: DOI arXiv
Chen, Yang; Its, Alexander R. A Riemann-Hilbert approach to the Akhiezer polynomials. (English) Zbl 1153.37426 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 973-1003 (2008). MSC: 37K20 30E25 42C05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{A. R. Its}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 973--1003 (2008; Zbl 1153.37426) Full Text: DOI arXiv
Basor, Estelle L.; Chen, Yang Toeplitz determinants from compatibility conditions. (English) Zbl 1149.15003 Ramanujan J. 16, No. 1, 25-40 (2008). Reviewer: Václav Burjan (Praha) MSC: 15A15 39A10 42C05 15B52 PDFBibTeX XMLCite \textit{E. L. Basor} and \textit{Y. Chen}, Ramanujan J. 16, No. 1, 25--40 (2008; Zbl 1149.15003) Full Text: DOI arXiv
Chen, Yang; Ismail, Mourad E. H. Ladder operators for \(q\)-orthogonal polynomials. (English) Zbl 1154.33010 J. Math. Anal. Appl. 345, No. 1, 1-10 (2008). Reviewer: Semyon Yakubovich (Porto) MSC: 33D52 44A60 33C45 39A10 39A13 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, J. Math. Anal. Appl. 345, No. 1, 1--10 (2008; Zbl 1154.33010) Full Text: DOI arXiv
Chen, Yang; Griffin, James; Ismail, Mourad E. H. Generalizations of Chebyshev polynomials and polynomial mappings. (English) Zbl 1176.33011 Trans. Am. Math. Soc. 359, No. 10, 4787-4828 (2007). MSC: 33C45 PDFBibTeX XMLCite \textit{Y. Chen} et al., Trans. Am. Math. Soc. 359, No. 10, 4787--4828 (2007; Zbl 1176.33011) Full Text: DOI arXiv
Basor, Estelle; Chen, Yang Perturbed Hankel determinants. (English) Zbl 1086.15505 J. Phys. A, Math. Gen. 38, No. 47, 10101-10106 (2005). Reviewer: Václav Burjan (Praha) MSC: 15A15 33C45 15B57 PDFBibTeX XMLCite \textit{E. Basor} and \textit{Y. Chen}, J. Phys. A, Math. Gen. 38, No. 47, 10101--10106 (2005; Zbl 1086.15505) Full Text: DOI arXiv
Chen, Yang; Pruessner, Gunnar Orthogonal polynomials with discontinuous weights. (English) Zbl 1109.42005 J. Phys. A, Math. Gen. 38, No. 12, L191-L198 (2005). MSC: 42C05 33C47 47B35 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{G. Pruessner}, J. Phys. A, Math. Gen. 38, No. 12, L191--L198 (2005; Zbl 1109.42005) Full Text: DOI arXiv
Chen, Yang; Ismail, Mourad Jacobi polynomials from compatibility conditions. (English) Zbl 1057.33004 Proc. Am. Math. Soc. 133, No. 2, 465-472 (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. Ismail}, Proc. Am. Math. Soc. 133, No. 2, 465--472 (2005; Zbl 1057.33004) Full Text: DOI arXiv
Chen, Yang; Lawrence, Nigel A generalization of the Chebyshev polynomials. (English) Zbl 1060.33016 J. Phys. A, Math. Gen. 35, No. 22, 4651-4699 (2002). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{N. Lawrence}, J. Phys. A, Math. Gen. 35, No. 22, 4651--4699 (2002; Zbl 1060.33016) Full Text: DOI
Chen, Yang; Griffin, James Krall-type polynomials via the Heine formula. (English) Zbl 1046.33005 J. Phys. A, Math. Gen. 35, No. 3, 637-656 (2002). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Griffin}, J. Phys. A, Math. Gen. 35, No. 3, 637--656 (2002; Zbl 1046.33005) Full Text: DOI
Berg, Christian; Chen, Yang; Ismail, Mourad E. H. Small eigenvalues of large Hankel matrices: The indeterminate case. (English) Zbl 1018.47020 Math. Scand. 91, No. 1, 67-81 (2002). Reviewer: Michal Zajac (Bratislava) MSC: 47B35 44A60 PDFBibTeX XMLCite \textit{C. Berg} et al., Math. Scand. 91, No. 1, 67--81 (2002; Zbl 1018.47020) Full Text: DOI arXiv
Muttalib, K. A.; Chen, Y.; Ismail, M. E. H. \(q\)-random matrix ensembles. (English) Zbl 1069.82500 Garvan, Frank G. (ed.) et al., Symbolic computation, number theory, special functions, physics and combinatorics. Proceedings of the conference, Gainesville, FL, USA, November 11–13, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0101-0/hbk). Dev. Math. 4, 199-221 (2001). MSC: 82B31 33D45 PDFBibTeX XMLCite \textit{K. A. Muttalib} et al., Dev. Math. 4, 199--221 (2001; Zbl 1069.82500) Full Text: arXiv
Chen, Yang; Ismail, Mourad E. H. Hermitean matrix ensembles and orthogonal polynomials. (English) Zbl 1004.82005 Stud. Appl. Math. 100, No. 1, 33-52 (1998). MSC: 82B44 33C45 42C05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, Stud. Appl. Math. 100, No. 1, 33--52 (1998; Zbl 1004.82005) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H. Asymptotics of the largest zeros of some orthogonal polynomials. (English) Zbl 0943.33009 J. Phys. A, Math. Gen. 31, No. 25, 5525-5544 (1998). Reviewer: Matthew He (Ft.Lauderdale) MSC: 33D45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, J. Phys. A, Math. Gen. 31, No. 25, 5525--5544 (1998; Zbl 0943.33009) Full Text: DOI
Chen, Yang; Lawrence, Nigel Density of zeros of some orthogonal polynomials. (English) Zbl 1009.33008 Methods Appl. Anal. 5, No. 4, 367-386 (1998). Reviewer: Mihai Putinar (Santa Barbara) MSC: 33C45 30E05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{N. Lawrence}, Methods Appl. Anal. 5, No. 4, 367--386 (1998; Zbl 1009.33008) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H.; Van Assche, Walter Tau-function constructions of the recurrence coefficients of orthogonal polynomials. (English) Zbl 0930.42012 Adv. Appl. Math. 20, No. 2, 141-168 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{Y. Chen} et al., Adv. Appl. Math. 20, No. 2, 141--168 (1998; Zbl 0930.42012) Full Text: DOI
Chen, Yang; Ismail, M. E. H. Some indetermining moment problems and Freud-like weights. (English) Zbl 0913.30024 Constructive Approximation 14, No. 3, 439-458 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 30E05 33D45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, Constr. Approx. 14, No. 3, 439--458 (1998; Zbl 0913.30024) Full Text: DOI
Chen, Yang; Lawrence, Nigel On the linear statistics of Hermitian random matrices. (English) Zbl 0920.62065 J. Phys. A, Math. Gen. 31, No. 4, 1141-1152 (1998). Reviewer: K.H.Kim (Montgomery) MSC: 62H10 15B52 15A18 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{N. Lawrence}, J. Phys. A, Math. Gen. 31, No. 4, 1141--1152 (1998; Zbl 0920.62065) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H. Ladder operators and differential equations for orthogonal polynomials. (English) Zbl 0927.33011 J. Phys. A, Math. Gen. 30, No. 22, 7817-7829 (1997). Reviewer: R.P.Agarwal (Lucknow) MSC: 33C80 33C45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, J. Phys. A, Math. Gen. 30, No. 22, 7817--7829 (1997; Zbl 0927.33011) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H. Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials. (English) Zbl 0902.33004 J. Comput. Appl. Math. 82, No. 1-2, 59-78 (1997). Reviewer: R.P.Agarwal (Lucknow) MSC: 33C45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, J. Comput. Appl. Math. 82, No. 1--2, 59--78 (1997; Zbl 0902.33004) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H.; Muttalib, K. A. Asymptotics of basic Bessel functions and \(q\)-Laguerre polynomials. (English) Zbl 0829.33012 J. Comput. Appl. Math. 54, No. 3, 263-272 (1994). Reviewer: H.Exton (Dunrossness) MSC: 33D45 81Q05 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 54, No. 3, 263--272 (1994; Zbl 0829.33012) Full Text: DOI