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).
Original language | English |
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Pages (from-to) | 1257-1278 |
Number of pages | 22 |
Journal | Acta Mathematica Sinica, English Series |
Volume | 29 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2013 |
Bibliographical note
Funding Information:Received June 19, 2012, accepted October 19, 2012 The second author is supported by the Israel Science Foundation (Grant No. 395/2007)
Funding
Received June 19, 2012, accepted October 19, 2012 The second author is supported by the Israel Science Foundation (Grant No. 395/2007)
Funders | Funder number |
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Israel Science Foundation | 395/2007 |
Keywords
- Normal family
- elliptic function