Normality criteria of meromorphic functions sharing one value

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چکیده

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Meromorphic functions sharing one value

Let f and g be two nonconstant meromorphic functions defined in the open complex plane C. If for some a ∈ C∪ {∞}, f − a and g − a have the same set of zeros with the same multiplicities, we say that f and g share the value a CM (counting multiplicities), and if we do not consider the multiplicities, then f and g are said to share the value a IM (ignoring multiplicities). We denote by T(r) the m...

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2011

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2011.03.040