Geodesic
Growth regularity for the arguments of meromorphic in $\mathbb C\setminus\{0\}$ functions of completely regular growth
Ufa mathematical journal, Tome 9 (2017) no. 1, pp. 123-136

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the asymptotic behaviour for the arguments of meromorphic function in $\mathbb C\setminus\{0\}$ of completely regular growth with respect to a growth function $\lambda$. We find that that the key role in the description of this behaviour is played by the function $\lambda_1(r)=\int_1^r\lambda(t)/t\,dt$.
Keywords: meromorphic function, function of moderate growth, completely regular growth, growth indicator
Mots-clés : Fourier coefficients. 
@article{UFA_2017_9_1_a10,
     author = {A. Ya. Khrystiyanyn and O. S. Vyshyns'kyi},
     title = {Growth regularity for the arguments of meromorphic in $\mathbb C\setminus\{0\}$ functions of completely regular growth},
     journal = {Ufa mathematical journal},
     pages = {123--136},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2017_9_1_a10/}
}
TY  - JOUR
AU  - A. Ya. Khrystiyanyn
AU  - O. S. Vyshyns'kyi
TI  - Growth regularity for the arguments of meromorphic in $\mathbb C\setminus\{0\}$ functions of completely regular growth
JO  - Ufa mathematical journal
PY  - 2017
SP  - 123
EP  - 136
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UFA_2017_9_1_a10/
LA  - en
ID  - UFA_2017_9_1_a10
ER  - 
%0 Journal Article
%A A. Ya. Khrystiyanyn
%A O. S. Vyshyns'kyi
%T Growth regularity for the arguments of meromorphic in $\mathbb C\setminus\{0\}$ functions of completely regular growth
%J Ufa mathematical journal
%D 2017
%P 123-136
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UFA_2017_9_1_a10/
%G en
%F UFA_2017_9_1_a10
A. Ya. Khrystiyanyn; O. S. Vyshyns'kyi. Growth regularity for the arguments of meromorphic in $\mathbb C\setminus\{0\}$ functions of completely regular growth. Ufa mathematical journal, Tome 9 (2017) no. 1, pp. 123-136. http://geodesic.mathdoc.fr/item/UFA_2017_9_1_a10/