From the 1 of 12 linked papers with an AI index.
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Optimal universal growth for integral means of normalized logarithmic derivatives in the Carathéodory class
Yixin He, Quanyu Tang, Teng Zhang
We determine the optimal universal growth scale for the integral means of normalized logarithmic derivatives in the Carathéodory class. This resolves a problem of D.~K.~Thomas.
A Solution to a Problem of Rubel on Two-Parameter Normal Families of Entire Functions
Yixin He, Quanyu Tang, Teng Zhang
We construct an entire function such that the family of entire functions of \(z\) is normal on…
Sharp Schoenberg type inequalities and the de Bruin--Sharma problem
Quanyu Tang, Teng Zhang
In this paper, we confirm two conjectures proposed by Georgiev, Gómez-Serrano, Tao, and Wagner~\cite{GGTW25} on Schoenberg type inequalities of order , thereby providing a comp…
Schoenberg type inequalities
Quanyu Tang
In the geometry of polynomials, Schoenberg's conjecture, now a theorem, is a quadratic inequality between the zeros and critical points of a polynomial whose zeros have their centr…