کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607723 1337880 2010 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature
چکیده انگلیسی
In this paper we study the asymptotic behavior of a family of polynomials which are orthogonal with respect to an exponential weight on certain contours of the complex plane. The zeros of these polynomials are the nodes for complex Gaussian quadrature of an oscillatory integral on the real axis with a high order stationary point, and their limit distribution is also analyzed. We show that the zeros accumulate along a contour in the complex plane that has the S-property in an external field. In addition, the strong asymptotics of the orthogonal polynomials are obtained by applying the nonlinear Deift-Zhou steepest descent method to the corresponding Riemann-Hilbert problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 162, Issue 12, December 2010, Pages 2202-2224
نویسندگان
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