Asymptotics of orthogonal polynomials for a weight with a jump on [-1; 1]

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...

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Autors principals:	Foulquié Moreno, A., Martínez-Finkelshtein, Andrei, Sousa, V. L.
Format:	info:eu-repo/semantics/article
Idioma:	English
Publicat:	2012
Matèries:	Polinomios ortogonales Asintótica Análisis de Riemann-Hilbert Ceros Comportamiento local Funciones hipergeométricas confluentes Universalidad Espacio de Branges Orthogonal polynomials Asymptotics Riemann-Hilbert analysis Zeros Local behavior Confluent hypergeometric functions Reproducing kernel Universality de Branges spaces
Accés en línia:	http://hdl.handle.net/10835/1626

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