05-19   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Walter Bergweiler, James Langley:

Zeros of differences of meromorphic functions

Let f be a function transcendental and meromorphic in the plane, and define g(z) by g(z) = f(z+1) - f(z). A number of results are proved concerning the existence of zeros of g(z) or g(z)/f(z), in terms of the growth and the poles of f.

Electronic Print: Front for the Mathematics ArXiv

Mathematics Subject Classification (1991): 30D35

Bibliographical note: Math. Proc. Cambridge Philos. Soc. 142, 133-147 (2007)

Mail an Jens Burmeister
[Thu Feb 19 18:56:36 2009]