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arXiv:math/0506441 [math.CV]AbstractReferencesReviewsResources

Zeros of differences of meromorphic functions

Walter Bergweiler, J. K. Langley

Published 2005-06-22Version 1

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.

Journal: Math. Proc. Cambridge Philos. Soc. 142 (2007), 133-147
Categories: math.CV
Subjects: 30D35
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