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arXiv · 2605.14669

Darboux-type formula for Jacobi biorthogonal polynomials

Zhaofeng Lin·Kai Wang·Zhanhang Zheng
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Abstract

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.

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Zhaofeng Lin, Kai Wang, Zhanhang Zheng. 2026-05-14. Darboux-type formula for Jacobi biorthogonal polynomials. https://arxiv.org/abs/2605.14669

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