Darboux-type formula for Jacobi biorthogonal polynomials
经典分析与常微分方程
2026-05-15 v1
摘要
In this paper, we study the asymptotic behavior of Jacobi biorthogonal polynomials. A Darboux-type formula is established using the method of steepest descent. In the proof, we construct an appropriate contour to apply the Rodrigues formula. Our result reduces to the classical Darboux formula in the orthogonal case.
关键词
引用
@article{arxiv.2605.14669,
title = {Darboux-type formula for Jacobi biorthogonal polynomials},
author = {Zhaofeng Lin and Kai Wang and Zhanhang Zheng},
journal= {arXiv preprint arXiv:2605.14669},
year = {2026}
}