Xia, Jun; Hao, Yi-Fan; Xu, Shuai-Xia; Zhang, Lun; Zhao, Yu-Qiu Asymptotics of the deformed higher order Airy-kernel determinants and applications. (English) Zbl 07726733 Nonlinearity 36, No. 8, 4384-4424 (2023). MSC: 34M55 34M50 33E17 33C10 41A60 PDFBibTeX XMLCite \textit{J. Xia} et al., Nonlinearity 36, No. 8, 4384--4424 (2023; Zbl 07726733) Full Text: DOI arXiv
Wong, R.; Zhao, Yu-Qiu Recent advances in asymptotic analysis. (English) Zbl 1501.41009 Anal. Appl., Singap. 20, No. 6, 1103-1146 (2022). MSC: 41A60 39A06 45A05 45E10 PDFBibTeX XMLCite \textit{R. Wong} and \textit{Y.-Q. Zhao}, Anal. Appl., Singap. 20, No. 6, 1103--1146 (2022; Zbl 1501.41009) Full Text: DOI arXiv
Xia, Jun; Xu, Shuai-Xia; Zhao, Yu-Qiu Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation. (English) Zbl 1491.34100 Physica D 434, Article ID 133254, 18 p. (2022). MSC: 34M55 PDFBibTeX XMLCite \textit{J. Xia} et al., Physica D 434, Article ID 133254, 18 p. (2022; Zbl 1491.34100) Full Text: DOI arXiv
Long, W.-G.; Li, Y.-T.; Liu, S.-Y.; Zhao, Y.-Q. Real solutions of the first Painlevé equation with large initial data. (English) Zbl 1409.34080 Stud. Appl. Math. 139, No. 4, 505-532 (2017). Reviewer: Simonetta Abenda (Bologna) MSC: 34M55 34M40 PDFBibTeX XMLCite \textit{W. G. Long} et al., Stud. Appl. Math. 139, No. 4, 505--532 (2017; Zbl 1409.34080) Full Text: DOI arXiv
Wu, Xiao-Bo; Lin, Yu; Xu, Shuai-Xia; Zhao, Yu-Qiu Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point. (English) Zbl 1347.41042 Anal. Appl., Singap. 14, No. 5, 705-737 (2016). MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{X.-B. Wu} et al., Anal. Appl., Singap. 14, No. 5, 705--737 (2016; Zbl 1347.41042) Full Text: DOI arXiv
Wu, Xiao-Bo; Lin, Yu; Xu, Shuai-Xia; Zhao, Yu-Qiu Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach. (English) Zbl 1380.41010 J. Approx. Theory 208, 21-58 (2016). Reviewer: C. L. Parihar (Indore) MSC: 41A60 33C10 33C45 PDFBibTeX XMLCite \textit{X.-B. Wu} et al., J. Approx. Theory 208, 21--58 (2016; Zbl 1380.41010) Full Text: DOI
Zeng, Zhao-Yun; Zhao, Yu-Qiu Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation. (English) Zbl 1334.33041 Appl. Anal. 95, No. 2, 390-404 (2016). MSC: 33E17 33C10 34E05 PDFBibTeX XMLCite \textit{Z.-Y. Zeng} and \textit{Y.-Q. Zhao}, Appl. Anal. 95, No. 2, 390--404 (2016; Zbl 1334.33041) Full Text: DOI arXiv
Xu, Shuai-Xia; Dai, Dan; Zhao, Yu-Qiu Hankel determinants for a singular complex weight and the first and third Painlevé transcendents. (English) Zbl 1339.33022 J. Approx. Theory 205, 64-92 (2016). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 33E17 34M55 41A60 PDFBibTeX XMLCite \textit{S.-X. Xu} et al., J. Approx. Theory 205, 64--92 (2016; Zbl 1339.33022) Full Text: DOI arXiv
Xu, Shuai-Xia; Dai, Dan; Zhao, Yu-Qiu Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight. (English) Zbl 1314.33021 J. Approx. Theory 192, 1-18 (2015). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33E17 34M55 41A60 34M30 PDFBibTeX XMLCite \textit{S.-X. Xu} et al., J. Approx. Theory 192, 1--18 (2015; Zbl 1314.33021) Full Text: DOI arXiv
Huang, Min-Hai; Zhao, Yu-Qiu High-frequency uniform asymptotics for the Helmholtz equation in a quarter-plane. (English) Zbl 1283.30069 Asymptotic Anal. 84, No. 1-2, 1-15 (2013). Reviewer: Rainer Picard (Dresden) MSC: 30E25 35J05 35C20 PDFBibTeX XMLCite \textit{M.-H. Huang} and \textit{Y.-Q. Zhao}, Asymptotic Anal. 84, No. 1--2, 1--15 (2013; Zbl 1283.30069) Full Text: DOI
Huang, Min-Hai; Zhao, Yu-Qiu High-frequency asymptotics for the modified Helmholtz equation in a quarter-plane. (English) Zbl 1231.35020 Appl. Anal. 90, No. 11-12, 1927-1938 (2011). MSC: 35B40 35C15 35J05 35J25 PDFBibTeX XMLCite \textit{M.-H. Huang} and \textit{Y.-Q. Zhao}, Appl. Anal. 90, No. 11--12, 1927--1938 (2011; Zbl 1231.35020) Full Text: DOI
Xu, Shuaixia; Zhao, Yuqiu Resurgence relation and global asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert approach. (English) Zbl 1226.41015 Sci. China, Math. 54, No. 4, 661-679 (2011). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{S. Xu} and \textit{Y. Zhao}, Sci. China, Math. 54, No. 4, 661--679 (2011; Zbl 1226.41015) Full Text: DOI
Wang, Hong-Yong; Zhao, Yu-Qiu Uniform asymptotics and zeros of a system of orthogonal polynomials defined via a difference equation. (English) Zbl 1198.33007 J. Math. Anal. Appl. 369, No. 2, 453-472 (2010). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 33C47 33C10 42C05 PDFBibTeX XMLCite \textit{H.-Y. Wang} and \textit{Y.-Q. Zhao}, J. Math. Anal. Appl. 369, No. 2, 453--472 (2010; Zbl 1198.33007) Full Text: DOI
Zhao, Yu-Qiu Uniform asymptotics for orthogonal polynomials via the Riemann-Hilbert approach. (English) Zbl 1110.41017 Appl. Anal. 85, No. 9, 1165-1176 (2006). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{Y.-Q. Zhao}, Appl. Anal. 85, No. 9, 1165--1176 (2006; Zbl 1110.41017) Full Text: DOI
Wong, R.; Zhao, Yu-Qiu Exponential asymptotics of the Mittag-Leffler function. (English) Zbl 1025.33009 Constructive Approximation 18, No. 3, 355-385 (2002). Reviewer: Rudolf Gorenflo (Berlin) MSC: 33E12 41A60 PDFBibTeX XMLCite \textit{R. Wong} and \textit{Y.-Q. Zhao}, Constr. Approx. 18, No. 3, 355--385 (2002; Zbl 1025.33009) Full Text: DOI
Wong, R.; Zhao, Yu-Qiu Gevrey asymptotics and Stieltjes transforms of algebraically decaying functions. (English) Zbl 1004.44003 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2019, 625-644 (2002). Reviewer: Juri M. Rappoport (Moskva) MSC: 44A20 PDFBibTeX XMLCite \textit{R. Wong} and \textit{Y.-Q. Zhao}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2019, 625--644 (2002; Zbl 1004.44003) Full Text: DOI