On deviations and strong asymptotic functions of meromorphic functions of finite lower order (Q549774)
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scientific article; zbMATH DE number 5925564
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On deviations and strong asymptotic functions of meromorphic functions of finite lower order |
scientific article; zbMATH DE number 5925564 |
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On deviations and strong asymptotic functions of meromorphic functions of finite lower order (English)
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18 July 2011
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In 1969, Petrenko introduced the function of deviation by means of a new metric. This led to new developments in Nevanlinna theory. In this vein, the authors obtain some interesting results for transcendental meromorphic functions \(f\) of lower order with \(N(r, f) =S(r, f)\). Furthermore, the authors manage to obtain some noteworthy upper estimates of the number of strong asymptotic rational functions and strong rational asymptotic spots of meromorphic functions.
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meromorphic function
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logarithmic density
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asymptotic function
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asymptotic spot
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