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Article Citation - WoS: 4Citation - Scopus: 3Some Limit Relationships Between Some Two-Variable Finite and Infinite Sequences of Orthogonal Polynomials(Taylor & Francis Ltd, 2021) Guldogan Lekesiz, Esra; Aktas, RabiaThe 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.
