Mathematics – Complex Variables
Scientific paper
2005-06-22
Math. Proc. Cambridge Philos. Soc. 142 (2007), 133-147
Mathematics
Complex Variables
Scientific paper
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.
Bergweiler Walter
Langley J. K.
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