JOURNALSProblems and Solutions

Questions Concerning Entire Functions of Finite Order with Positive Taylor Coefficients (Open)

Summary: An open question is raised concerning $\max_{f \in A_{\rho}} (\limsup_{r\to\infty} T(r))$, where $T(r) = f(f)f''(r)/(f'(r))^2$ and $A_{\rho}$ denotes the class of transcendental entire functions of order $\rho$.

Classification: Primary, Classical Analysis; Secondary, Other