Finite bivariate biorthogonal N-Konhauser polynomials

2024/10/23 by Esra Güldoğan Lekesız, Lekesiz, Esra Güldoğan, Bayram Çeki̇m +3
Computer Science · Engineering · Mathematics · #33C45 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2410.18056

openalex publication_date 2024/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

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 obtain several applications of finite bivariate biorthogonal N-Konhauser polynomials.

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