Annales Academię Scientiarum Fennicę
Mathematica
Volumen 34, 2009, 615-636
University of Glasgow, Department of Mathematics
University Gardens, Glasgow
G12 8QW, United Kingdom; a.fletcher 'at' maths.gla.ac.uk
University of Nottingham, School of Mathematical Sciences
University Park, Nottingham NG7 2RD, United Kingdom; jkl 'at' maths.nott.ac.uk
Abstract. We prove a result on the frequency of zeros of f o g - Q, where g is a transcendental entire function of finite lower order, and f and Q are meromorphic functions in the plane such that f has finite order and the growth of the target function Q is controlled by that of g. The particular case f = Q is then investigated further.
2000 Mathematics Subject Classification: Primary 30D35.
Key words: Meromorphic functions, compositions, Nevanlinna theory.
Reference to this article: A.N. Fletcher and J.K. Langley: Meromorphic compositions and target functions Ann. Acad. Sci. Fenn. Math. 34 (2009), 615-636.
Copyright © 2009 by Academia Scientiarum Fennica