Asymptotic formulae for generalized Freud polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:421

Article

Alfaro, M.^1,2  Moreno-Balcazar, J. J.³  Pena, A.^1,2  Rezola, M. L.^1,2 

[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

[3] Univ Almeria, Dept Matemat, Almeria, Spain

关键词: Generalized Freud orthogonal polynomials;    Mehler-Heine formulae;    Asymptotics;    Zeros;   

DOI  :  10.1016/j.jmaa.2014.07.026

来源: Elsevier

【 摘 要 】

We establish the Mehler-Heine type formulae for orthonormal polynomials with respect to generalized Freud weights. Using this type of asymptotics, we can give estimates of the value at the origin of these polynomials and of all their derivatives as well as the asymptotic behavior of the corresponding zeros. (C) 2014 Published by Elsevier Inc.

【 授权许可】

Free