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arXiv · 1111.0847

Derivatives of Meromorphic functions with multiple zeros and elliptic functions

Pai Yang·Shahar Nevo·Xuecheng Pang
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Abstract

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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Pai Yang, Shahar Nevo, Xuecheng Pang. 2011-11-03. Derivatives of Meromorphic functions with multiple zeros and elliptic functions. https://arxiv.org/abs/1111.0847

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