On transcendental meromorphic functions with radially distributed values |
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Authors: | Email author" target="_blank">Zheng?Jianhua?Email author |
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Institution: | Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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Abstract: | The growth of transcendental meromorphic functions in terms of their orders
is investigated in this paper when they and their derivatives have radially distributed values
following the discussion of the author. A simple and elementary way to study such subjects
is exhibited in this paper; that is, once an estimation of B(r, *) in terms of a few c(r, **) in
the Nevanlinna theory on angular domains is established, we can produce one result that
the order of a mermorphic function with radially distributed values related to C(r, **) can
be estimated under the assumption of existence of suitable deficient value. The results ob-
tained in this paper lead us to a new singular direction in terms of Nevanlinna characterstic
instead of the order of meromorphic functions. |
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Keywords: | Nevanlinna theory meromorophic function and radial distribution |
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