Abstract
Let a and b be two given meromorphic functions on a domain D. We study normality of the family \(\mathcal {F}\) of meromorphic functions that satisfy \(f(z)f ^{(k)}(z) = a(z) \Leftrightarrow f^{(k)}(z) = b(z)\) for every \(f\in \mathcal {F}\) on D. Examples are also given to show the necessity of the conditions in our results.
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This work is supported by the National Natural Science Foundation of China (No. 11171045).
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Communicated by Saminathan Ponusammy.
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Liu, X. Normal Families and Shared Values of Meromorphic Functions. Bull. Malays. Math. Sci. Soc. 39, 155–171 (2016). https://doi.org/10.1007/s40840-015-0166-5
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DOI: https://doi.org/10.1007/s40840-015-0166-5