On a class of q-orthogonal polynomials and the q-Riemann Hilbert Problem

Autor:	Nalini Joshi, Tomas Lasic Latimer
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Pure mathematics Class (set theory) Mathematics - Classical Analysis and ODEs Computer Science::Information Retrieval General Mathematics Orthogonal polynomials Classical Analysis and ODEs (math.CA) FOS: Mathematics General Engineering General Physics and Astronomy Mathematics
Popis:	We give an explicit solution of a q-Riemann Hilbert problem which arises in the theory of orthogonal polynomials, prove that it is unique, and deduce several properties. Our new results include the asymptotic behaviour of zeroes in the limit as the degree of the polynomial approaches infinity. 15 pages, 1 figure
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ccc91dd6a221277f2d5005e15fa3cda http://arxiv.org/abs/2106.01042 Zobrazit plný text záznamu