Indeterminate moment problem associated with continuous dual q-Hahn polynomials

2020/12/08 by Kerstin Jordaan, Jordaan, Kerstin, Maurice Kenfack Nangho +1
Chemistry · Mathematics · Physics and Astronomy · #30E05 #33D45 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Molecular spectroscopy and chirality #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2012.04408

openalex publication_date 2020/12/08 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We study a limiting case of the Askey-Wilson polynomials when one of the parameters goes to infinity, namely continuous dual q-Hahn polynomials when q > 1. Solutions to the associated indeterminate moment problem by general theory are found and an orthogonality relation is established.

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