Geodesic
The representation of a meromorphic function as the quotient of entire functions and Paley problem in ${\mathbb C}^n$: survey of some results
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 146-167 Cet article a éte moissonné depuis la source Math-Net.Ru

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The classical representation problem for a meromorphic function $f$ in $\mathbb C^n$, $n\ge 1$, consists in representing $f$ as the quotient $f=g/h$ of two entire functions $g$ and $h$, each with logarithm of modulus majorized by a function as close as possible to the Nevanlinna characteristic. Here we introduce generalizations of the Nevanlinna characteristic and give a short survey of classical and recent results on the representation of a meromorphic function in terms such characteristics. When $f$ has a finite lower order, the Paley problem on best possible estimates of the growth of entire functions $g$ and $h$ in the representations $f=g/h$ will be considered. Also we point out to some unsolved problems in this area. 
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     author = {B. N. Khabibullin},
     title = {The representation of a meromorphic function as the quotient of entire functions and {Paley} problem in ${\mathbb C}^n$: survey of some results},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {146--167},
     year = {2002},
     volume = {9},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a2/}
}
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B. N. Khabibullin. The representation of a meromorphic function as the quotient of entire functions and Paley problem in ${\mathbb C}^n$: survey of some results. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 146-167. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a2/