Slater determinants of orthogonal polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Dimitrov, Dimitar K.¹  Xu, Yuan² 

[1] Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

关键词: Slater determinant;    Orthogonal polynomials;    Wronskian;    Laplace transform;   

DOI  :  10.1016/j.jmaa.2015.11.039

来源: Elsevier

【 摘 要 】

The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free