Value Distribution of the k th Derivatives of Meromorphic Functions

@inproceedings{Yang2014ValueDO,
  title={Value Distribution of the k th Derivatives of Meromorphic Functions},
  author={Puhai Yang and Xiaojun Liu},
  year={2014}
}
In the paper, we take up a new method to prove a result of value distribution of meromorphic functions: let f be a meromorphic function in  , and let ( ) ( ) = / e 0 z a z P z ≡ , where P is a polynomial. Suppose that all zeros of f have multiplicity at least 1 k + , except possibly finite many, and ( ) ( ) ( ) , , T r a o T r f = as r →∞ . Then ( ) k f R − has infinitely many zeros. 

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Picard Values of Meromorphic Functions and Their Derivatives

W. K. Hayman
Annals of Mathematics, Vol. 70, No. 1, 1959, pp. 9-42. http://dx.doi.org/10.2307/1969890 • 1959
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