A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials
暂无分享,去创建一个
Stephanos Venakides | Percy Deift | T. Kriecherbauer | P. Deift | T. Kriecherbauer | S. Venakides | Xin Zhou | K. Mclaughlin | Xin Zhou | K. T. R. McLaughlin
[1] A. Magnus. On Freud's equations for exponential weights , 1986 .
[2] D. Lubinsky. An update on orthogonal polynomials and weighted approximation on the real line , 1993 .
[3] E. Saff,et al. Logarithmic Potentials with External Fields , 1997 .
[4] Percy Deift,et al. New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field , 1998 .
[5] H. Mhaskar,et al. A proof of Freud's conjecture for exponential weights , 1988 .
[6] Rene F. Swarttouw,et al. Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.
[7] Hrushikesh Narhar Mhaskar,et al. Extremal problems for polynomials with exponential weights , 1984 .
[8] Stephanos Venakides,et al. Strong asymptotics of orthogonal polynomials with respect to exponential weights , 1999 .
[9] Stephanos Venakides,et al. New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems , 1997 .
[10] F. Smithies,et al. Singular Integral Equations , 1955, The Mathematical Gazette.
[11] Stephanos Venakides,et al. Asymptotics for polynomials orthogonal with respect to varying exponential weights , 1997 .
[12] D. Lubinsky. Asymptotics of Orthogonal Polynomials: Some Old, Some New, Some Identities , 2000 .
[13] Stephanos Venakides,et al. UNIFORM ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL WITH RESPECT TO VARYING EXPONENTIAL WEIGHTS AND APPLICATIONS TO UNIVERSALITY QUESTIONS IN RANDOM MATRIX THEORY , 1999 .
[14] J. Baik,et al. On the distribution of the length of the longest increasing subsequence of random permutations , 1998, math/9810105.
[15] T. Zaslavsky,et al. Asymptotic Expansions of Ratios of Coefficients of Orthogonal Polynomials with Exponential Weights , 1985 .
[16] P. Deift,et al. An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries (KdV) equation. , 1998, Proceedings of the National Academy of Sciences of the United States of America.
[17] P. Deift,et al. A steepest descent method for oscillatory Riemann–Hilbert problems. Asymptotics for the MKdV equation , 1993 .
[18] P. Nevai. Asymptotics for Orthogonal Polynomials Associated with $\exp ( - x^4 )$ , 1984 .
[19] Rong-Chyu Sheen. Plancherel-Rotach-type asymptotics for orthogonal polynomials associated with exp(- x 6 /6) , 1987 .
[20] P. Deift,et al. Asymptotics for the painlevé II equation , 1995 .
[21] Athanassios S. Fokas,et al. Discrete Painlevé equations and their appearance in quantum gravity , 1991 .
[22] I. Gohberg,et al. Factorization of Matrix Functions and Singular Integral Operators , 1980 .
[23] E. A. Rakhmanov. Strong asymptotics for orthogonal polynomials , 1993 .
[24] Attila Máté,et al. Asymptotics for the Zeros of Orthogonal Polynomials associated with Infinite Intervals , 1986 .
[25] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[26] M. Plancherel,et al. Sur les valeurs asymptotiques des polynomes d'Hermite $$H_n (x) = ( - I)^n e^{\frac{{x^2 }}{2}} \frac{{d^n }}{{dx^n }}\left( {e^{ - \frac{{x^2 }}{2}} } \right),$$ , 1929 .
[27] T. Kriecherbauer,et al. Strong asymptotics of polynomials orthogonal with respect to Freud weights , 1999 .