Geodesic
Example of an entire function with given indicator and lower indicator
Sbornik. Mathematics, Tome 18 (1972) no. 4, pp. 541-558

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

In this paper, the following result is proved. Theorem. Let $h_1(\varphi)$ and $h_2(\varphi)$ be two $\rho$-trigonometrically convex functions. There is an entire function $f(z)$ of finite order $\rho$ such that its indicator $h_f(\varphi)=\max[h_1(\varphi),h_2(\varphi)]$ and its lower indicator $\underline h_f(\varphi)=\min[h_1(\varphi),h_2(\varphi)]$. Applications of this theorem are given. Bibliography: 6 titles. 
@article{SM_1972_18_4_a0,
     author = {V. S. Azarin},
     title = {Example of an entire function with given indicator and lower indicator},
     journal = {Sbornik. Mathematics},
     pages = {541--558},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_18_4_a0/}
}
TY  - JOUR
AU  - V. S. Azarin
TI  - Example of an entire function with given indicator and lower indicator
JO  - Sbornik. Mathematics
PY  - 1972
SP  - 541
EP  - 558
VL  - 18
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1972_18_4_a0/
LA  - en
ID  - SM_1972_18_4_a0
ER  - 
%0 Journal Article
%A V. S. Azarin
%T Example of an entire function with given indicator and lower indicator
%J Sbornik. Mathematics
%D 1972
%P 541-558
%V 18
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1972_18_4_a0/
%G en
%F SM_1972_18_4_a0
V. S. Azarin. Example of an entire function with given indicator and lower indicator. Sbornik. Mathematics, Tome 18 (1972) no. 4, pp. 541-558. http://geodesic.mathdoc.fr/item/SM_1972_18_4_a0/