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Finite Bivariate Biorthogonal N - Konhauser Polynomials

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Date

2025

Journal Title

Journal ISSN

Volume Title

Publisher

Taylor & Francis Ltd

Open Access Color

Green Open Access

Yes

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No
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Abstract

A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials $ N_{n}<^>{\left (p\right ) }\left (w\right ) $ Nn(p)(w) and Konhauser polynomials. We present a connection between this finite 2D biorthogonal set and the generalized Laguerre-Konhauser polynomials. Also, we obtain several applications of finite bivariate biorthogonal N - Konhauser polynomials.

Description

Guldogan Lekesiz, Esra/0000-0001-7653-8745;

Keywords

Biorthogonal Polynomial, Finite Orthogonal Polynomial, Konhauser Polynomial, Partial Differential Equation, Generating Function, Fractional Calculus, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C45, 33C45, 33C50, Mittag-Leffler function, Konhauser polynomial, Laplace transform, finite orthogonal polynomial, fractional calculus, generating function, partial differential equation, Fourier transform, Biorthogonal polynomial, Fractional operator, Finite biorthogonal polynomial

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Q1

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Q3
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OpenCitations Citation Count
1

Source

Journal of Computational and Applied Mathematics

Volume

476

Issue

Start Page

117106

End Page

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CrossRef : 1

Scopus : 0

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19.52900149

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