70 citations · 486 across the 82 of their papers we have counts for
95 papers
Julia directions for holomorphic curves
Alexandre Eremenko
A theorem of Picard's type is proved for entire holomorphic mappings into complex projective varieties. This theorem has local character in the sense that the existence of Julia di…
Zeros and coefficients
Alexandre Eremenko
Two theorems on the asymptotic distribution of zeros of sequences of analytic functions are proved. First one relates the asymptotic behavior of zeros to the asymptotic behavior of…
On conformal metrics of constant positive curvature in the plane
Walter Bergweiler, Alexandre Eremenko, James Langley
We prove three theorems about solutions of in the plane. The first two describe explicitly all concave and quasiconcave solutions. The third theorem says that the…
Rigidity results on Liouville equation
Alexandre Eremenko, Changfeng Gui, Qinfeng Li +1
We give a complete classification of solutions bounded from above of the Liouville equation $$-Δu=e^{2u}\quad\mbox{in}\quad {\mathbf{R}}^2.$$ More generally, solutions in the class…
Second order linear differential equations with a basis of solutions having only real zeros
Walter Bergweiler, Alexandre Eremenko, Lasse Rempe
Let be a transcendental entire function of finite order. We show that if the differential equation has two linearly independent solutions with only real zeros, then…
Ahlfors' contribution to the theory of meromorphic functions
Alexandre Eremenko
This is an expanded version of one of the Lectures in memory of Lars Ahlfors in Haifa in 1996. Some mistakes are corrected and references added. It contains a survey of his work on…