Mathematical Proceedings of the Cambridge Philosophical Society

Table of Contents - March 2011 - Volume 150, Issue 02  

Research Article

Non-real zeros of derivatives of real meromorphic functions of infinite order

J. K. LANGLEYa1

a1 School of Mathematical Sciences, University of Nottingham, NG 7 2RD. e-mail: jkl@maths.nott.ac.uk

Abstract

Let f be a real meromorphic function of infinite order in the plane, with finitely many zeros and non-real poles. Then f″ has infinitely many non-real zeros.

(Received April 26 2010)

(Revised June 11 2010)

(Online publication September 20 2010)