Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:421

Article

Marcellan, Francisco^1,2  Francisca Perez-Valero, M.²  Quintana, Yamilet³ 

[1] Univ Autonoma Madrid, Inst Ciencias Matemat ICMAT, E-28049 Madrid, Spain

[2] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain

[3] Univ Simon Bolivar, Dept Matemat Puras & Aplicadas, Caracas 1080A, Venezuela

关键词: Orthogonal polynomials;    Laguerre polynomials;    Asymptotics;    Diagonal Christoffel-Darboux kernels;    Sobolev-type orthogonal polynomials;   

DOI  :  10.1016/j.jmaa.2014.07.012

来源: Elsevier

【 摘 要 】

The aim of this paper is to present some new results about the asymptotic behavior of the partial derivatives of the kernel polynomials associated with the Gamma distribution. We also show how these results can be used in order to obtain the inner relative asymptotics for certain Laguerre-Sobolev type polynomials. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free