English

Finite bivariate biorthogonal $N$-Konhauser polynomials

Classical Analysis and ODEs 2025-11-21 v2

Abstract

A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials Nn(p)(w)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 NN-Konhauser polynomials.

Keywords

Cite

@article{arxiv.2410.18056,
  title  = {Finite bivariate biorthogonal $N$-Konhauser polynomials},
  author = {Esra Güldoğan Lekesiz and Bayram Çekim and Mehmet Ali Özarslan},
  journal= {arXiv preprint arXiv:2410.18056},
  year   = {2025}
}
R2 v1 2026-06-28T19:33:10.326Z