Browsing by Author "Guldogan Lekesiz, Esra"
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Article Citation - WoS: 4Citation - Scopus: 3Fourier Transforms of Some Finite Bivariate Orthogonal Polynomials(Mdpi, 2021) Guldogan Lekesiz, Esra; Aktas, Rabia; Masjed-Jamei, MohammadIn this paper, we first obtain the Fourier transforms of some finite bivariate orthogonal polynomials and then by using the Parseval identity, we introduce some new families of bivariate orthogonal functions.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.
