On the Derivatives of Composite Functions

New Zealand Journal of Mathematics (Online)

J.K. Langley ; E.F. Lingham

关键词: composite functions;    Nevanlinna theory;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

Let g be a non-constant polynomial and let f be transcendental and meromorphic of sub-exponential growth in the plane. Then ifand Q is a polynomial the functionhas infinitely many zeros. The same conclusion holds forand with Q a rational function if f has finitely many poles. We also show by example that this result is sharp.

【 授权许可】

Unknown