Normal Families and Shared Values of Meromorphic Functions
Tóm tắt
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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