Derivatives of Meromorphic functions with multiple zeros and elliptic functions

Details Derivatives of Meromorphic functions with multiple zeros and elliptic functions Derivatives of Meromorphic functions with multiple zeros and elliptic functions

2011-11-03

arxiv.org/abs/1111.0847v1

Mathematics

Complex Variables

Scientific paper

Let f be a nonconstant meromorphic function in the plane and h be a
nonconstant elliptic function. We show that if all zeros of f are multiple
exept finitely many and T(r,h)=o{T(r,f)} as r tends to infinity, then f'=h has
infinitely many solutions (including poles).

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