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math.CV2023
Sum rules and Simon spectral gem problem on higher order Szegő theorems
Zhihua Du
In this work, we give a formula for coefficients of orthogonal polynomials on the unit circle. By using this formula, a new and computable approach is provided for sum rules which…
math.CV2022★ 1 cited
Schwarz boundary value problems for polyanalytic equation in a sector ring
Zhihua Du, Ying Wang, Min Ku
In this article,we first give a modified Schwarz-Pompeiu formula in a general sector ring by proper conformal mappings, and obtain the solution of the Schwarz problem for the Cauch…
math.CV2008
Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems for orthogonal trigonometric polynomials
Zhihua Du
In this paper, we obtain some analogs of Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems appeared in the theory of orthogonal polynomials on the unit circ…