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arXiv · 2410.18056

Finite bivariate biorthogonal $N$-Konhauser polynomials

Esra Güldoğan Lekesiz·Bayram Çekim·Mehmet Ali Özarslan
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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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Esra Güldoğan Lekesiz, Bayram Çekim, Mehmet Ali Özarslan. 2024-10-23. Finite bivariate biorthogonal $N$-Konhauser polynomials. https://doi.org/10.1080/10236198.2025.2522094

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