Asymptotics of orthogonal polynomials for a weight with a jump on [-1; 1]
We consider the orthogonal polynomials on [−1,1] with respect to the weight where h is real analytic and strictly positive on [−1,1] and Ξ c is a step-like function: Ξ c (x)=1 for x∈[−1,0) and Ξ c (x)=c 2, c>0, for x∈[0,1]. We obtain strong uniform asymptotics of the monic orthogonal polynomials...
المؤلفون الرئيسيون: | Foulquié Moreno, A., Martínez-Finkelshtein, Andrei, Sousa, V. L. |
---|---|
التنسيق: | info:eu-repo/semantics/article |
اللغة: | English |
منشور في: |
2012
|
الموضوعات: | |
الوصول للمادة أونلاين: | http://hdl.handle.net/10835/1626 |
مواد مشابهة
-
Szego polynomials: a view from the Riemann-Hilbert window
حسب: Martínez-Finkelshtein, Andrei
منشور في: (2012) -
On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials
حسب: Foulquié Moreno, A., وآخرون
منشور في: (2012) -
Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization
حسب: Grünbaum, F. Alberto, وآخرون
منشور في: (2012) -
Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour
حسب: Martínez-Finkelshtein, Andrei, وآخرون
منشور في: (2012) -
Asymptotics of the L2 norm of derivatives of OPUC
حسب: Martínez-Finkelshtein, Andrei, وآخرون
منشور في: (2012)