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math.CA2026
Darboux-type formula for Jacobi biorthogonal polynomials
Zhaofeng Lin, Kai Wang, Zhanhang Zheng
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 con…
math.PR2026
Normal approximation for iterated inner functions
Yukun Chen, Xiangdi Fu, Zhaofeng Lin +1
A Berry--Esséen theorem for linear combinations of iterates of an inner function is obtained. Our proof, which is based an elementary transfer argument and classical results in mar…