Growth of meromorphic functions of finite lower order
Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 391-432.

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A new measure $\beta(a,f)$ of the deviation of a meromorphic function from a number $a$ is introduced in order to study the deeper asymptotic properties of meromorphic functions. It is found that $\beta(a,f)$ possesses many properties analogous to those of the deficiencies introduced by R. Nevanlinna.
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V. P. Petrenko. Growth of meromorphic functions of finite lower order. Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 391-432. http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a5/

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