2014/12/01 by Dimitar Dimitrov, Dimitar K. Dimitrov, Yuan Xu +2
Mathematics · Physics and Astronomy · #11C20 #33C45 #44A10 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #math-ph #math.CA #math.MP #msc:11C20 #msc:33C45 #msc:44A10
paper · pdf · doi:10.48550/arxiv.1412.0326
arxiv created 2014/12/01 · openalex publication_date 2014/12/01 · arxiv updated 2014/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.