Finite bivariate biorthogonal \(N\)-Konhauser polynomials

Finite bivariate biorthogonal \(N\)-Konhauser polynomials

A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials \(N_{n}^{(p)}(w)\) and the Konhauser polynomials. We present a connection between this finite 2D biorthogonal set and the generalized Laguerre-Konhauser polynomials. Also, we introduce several applicat...

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Veröffentlicht in:arXiv.org 2024-10
Hauptverfasser: Esra Güldoğan Lekesiz, Bayram Çekim, Mehmet Ali Özarslan
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Bivariate analysis
Polynomials
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Bayram Çekim
Mehmet Ali Özarslan
description A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials \(N_{n}^{(p)}(w)\) and the Konhauser polynomials. We present a connection between this finite 2D biorthogonal set and the generalized Laguerre-Konhauser polynomials. Also, we introduce several applications of finite bivariate biorthogonal \(N\)-Konhauser polynomials.
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subjects Bivariate analysis
Polynomials
title Finite bivariate biorthogonal \(N\)-Konhauser polynomials
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