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math.CV2026
A counterexample to Nevanlinna's century-old half-plane problem
Yixin He, Teng Zhang
Let , and let denote the Nevanlinna class in , consisting of meromorphic functions representable as…
math.CV2026
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.
math.CV2026
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…