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Derivatives of meromorphic functions with multiple zeros and elliptic functions |
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| Authors: | Pai Yang Shahar Nevo |
| Institution: | 12375. Department of Mathematics, East China Normal University, Shanghai, 200062, P. R. China 22375. College of Mathematics, Chengdu University of Information Technology, Chengdu, 610225, P. R. China 32375. Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel |
| 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 except finitely many and T(r, h) = o{T(r, f)} as r→∞, then f′ = h has infinitely many solutions (including poles). |
| Keywords: | Normal family elliptic function |
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