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- [1] Lekesiz EG, 2025, INTEGR TRANSF SPEC F, V36, P145, DOI 10.1080/10652469.2024.2399520
Fourier Transform of Biorthogonal Polynomials In One Variable (Sept, 10.1080/10652469.2024.2399520, 2024)
被引：0
作者：
Lekesiz, Esra Guldogan
Cekim, Bayram
机构：
[1] Department of Mathematics, Faculty of Science, Gazi University, Ankara
关键词：
Biorthogonal polynomials;
Fourier transform;
Jacobi polynomials;
Laguerre polynomials;
Parseval identity;
Szegö–Hermite polynomials;
D O I：
10.1080/10652469.2024.2414660
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some new families of biorthogonal functions in one variable produced by using Fourier transforms of biorthogonal polynomials, which are suggested by Laguerre, Jacobi and Szeg & ouml;-Hermite polynomials, and their orthogonality relations obtained via Parseval identity are derived.
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页码：145 / 162
页数：2
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