Guldogan Lekesiz, EsraAktas, RabiaMathematics2024-07-052024-07-0520211023-61981563-512010.1080/10236198.2021.20061922-s2.0-85120731701https://doi.org/10.1080/10236198.2021.2006192https://hdl.handle.net/20.500.14411/1721Güldoğan Lekesiz, Esra/0000-0001-7653-8745; Aktas, Rabia/0000-0002-7811-8610The aim of paper is to give some limit relationships between finite and infinite sequences of orthogonal polynomials in two variables and to obtain the well-known relations of some infinite sets of two-variable orthogonal polynomials by taking limit of the properties verified by finite classes of two-variable orthogonal polynomials. Furthermore, the fourth-order partial differential equations satisfied by the polynomials, which are the products of finite orthogonal polynomials, are presented and by taking limit of the derived fourth-order equations, partial differential equations for some infinite sequences of two-variable orthogonal polynomials are found.eninfo:eu-repo/semantics/closedAccessOrthogonal polynomiallimit relationpartial differential equationrecurrence relationgenerating functionArticleQ3Q3271216921722WOS:0007225568000012