Geodesic
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. 
@article{IM2_1969_3_2_a5,
     author = {V. P. Petrenko},
     title = {Growth of meromorphic functions of finite lower order},
     journal = {Izvestiya. Mathematics },
     pages = {391--432},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1969},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a5/}
}
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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/