168 citations · 224 across the 13 of their papers we have counts for
13 papers
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…
A special case of a conjecture of Hellerstein, Shen and Williamson
J. K. Langley
The paper proves a special case of a conjecture of Hellerstein, Shen and Williamson concerning non-real zeros of derivatives of real meromorphic functions.
Complex flows, escape to infinity and a question of Rubel
J. K. Langley
Let be a transcendental entire function. It was shown in a previous paper that the holomorphic flow always has infinitely many trajectories tending to infinity…
Non-real zeros of linear differential polynomials in real meromorphic functions
J. K. Langley
It is shown that if or is a real entire function of infinite order of growth, with only real zeros, then has infinitely many non-real zeros for any .
Bank-Laine functions, the Liouville transformation and the Eremenko-Lyubich class
J. K. Langley
The Bank-Laine conjecture concerning the oscillation of solutions of second order homogeneous linear differential equations has recently been disproved by Bergweiler and Eremenko.…
Zeros of derivatives of strictly non-real meromorphic functions
J. K. Langley
A number of results are proved concerning the existence of non-real zeros of derivatives of strictly non-real meromorphic functions in the plane.