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20222025
most citedFinite bivariate biorthogonal -Konhauser polynomials

2 citations · 4 across the 5 of their papers we have counts for

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6 papers

math.CA2025

Finite biorthogonal M matrix polynomials

Esra Güldoğan Lekesiz

This paper provides a finite pair of biorthogonal matrix polynomials and their finite biorthogonality, several recurrence relations, matrix differential equation, generating functi…

math.CA2024★ 2 cited

Finite bivariate biorthogonal -Konhauser polynomials

Esra Güldoğan Lekesiz, Bayram Çekim, Mehmet Ali Özarslan

A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials and the Konhauser polynomials. We present a connection between t…

math.CA2024★ 1 cited

Finite Bivariate Biorthogonal M-Konhauser Polynomials

Esra Güldoğan Lekesiz, Bayram Çekim, Mehmet Ali Özarslan

In this paper, we construct the pair of finite bivariate biorthogonal M-Konhauser polynomials, reduced to the finite orthogonal polynomials , by choosing appropri…

math.CA2024★ 1 cited

Finite biorthogonal polynomials suggested by the finite orthogonal polynomials

Esra Güldoğan Lekesiz

In this paper, we derive a pair of finite univariate biorthogonal polynomials suggested by the finite univariate orthogonal polynomials . The corresponding biorth…

math.CA2024

Finite bivariate biorthogonal I -- Konhauser polynomials

Esra Güldoğan Lekesiz, Bayram Çekim, Mehmet Ali Özarslan

In this paper, a finite set of biorthogonal polynomials in two variables is produced using Konhauser polynomials. Some properties containing operational and integral representation…

math.CA2022

Fourier transform of the orthogonal polynomials on the unit ball

Esra Güldoğan Lekesiz, Rabia Aktaş, Iván Area

Fourier transform of multivariate orthogonal polynomials on the unit ball are obtained. By using Parseval's identity, a new family of multivariate orthogonal functions are introduc…