Entire solutions of a special binomial differential equation
Dong-hai Zhao, Jie Zhang, Liang-wen Liao
Abstract
We consider the binomial differential equation ff'-a(f'')2=be2c, where a(z), b(z), c(z) are polynomials such that b(z) 0 and c(z) is non-constant. In this paper, we determine all entire solutions of this equation.
Create a lesson
Related papers
A property of boundary extensions of atomic singular inner functions
Iason Efraimidis, Adrian Llinares, Sullivan MacDonald et al.
Holomorphic flexibility properties of strongly commuting varieties
Stefano Giannini
A convolution inequality and the Krzyż conjecture
Sullivan Francis MacDonald
Quasiconformal distortion of the lower dimension and applications
Efstathios Konstantinos Chrontsios Garitsis, Jeremy T. Tyson
Regularity of geodesics in the spaces of convex and plurisubharmonic functions III
Soufian Abja, Slawomir Dinew
Local convexity obstructions for bounded realizations of Teichmüller space
Jinsong Liu, Xingsi Pu, Lang Wang