Geodesic
An Analog of the Valiron–Goldberg Theorem under a Restriction Condition on the Averaged Counting Function of Zeros
Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 794-798 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Keywords: entire function of nonintegral order, proximate order, upper density, counting function of zeros, asymptotic upper bound. 
@article{MZM_2014_96_5_a14,
     author = {F. S. Myshakov},
     title = {An {Analog} of the {Valiron{\textendash}Goldberg} {Theorem} under a {Restriction} {Condition} on the {Averaged} {Counting} {Function} of {Zeros}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {794--798},
     year = {2014},
     volume = {96},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a14/}
}
TY  - JOUR
AU  - F. S. Myshakov
TI  - An Analog of the Valiron–Goldberg Theorem under a Restriction Condition on the Averaged Counting Function of Zeros
JO  - Matematičeskie zametki
PY  - 2014
SP  - 794
EP  - 798
VL  - 96
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a14/
LA  - ru
ID  - MZM_2014_96_5_a14
ER  - 
%0 Journal Article
%A F. S. Myshakov
%T An Analog of the Valiron–Goldberg Theorem under a Restriction Condition on the Averaged Counting Function of Zeros
%J Matematičeskie zametki
%D 2014
%P 794-798
%V 96
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a14/
%G ru
%F MZM_2014_96_5_a14
F. S. Myshakov. An Analog of the Valiron–Goldberg Theorem under a Restriction Condition on the Averaged Counting Function of Zeros. Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 794-798. http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a14/

[1] G. Valiron, “Sur les fonctions entières d'ordre nul et d'ordre fini et en particulier les fonctions à correspondance régulière”, Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. (3), 5 (1913), 117–257 | DOI | MR

[2] A. A. Goldberg, Matem. sb., 58:3 (1962), 289–334 | MR | Zbl

[3] A. Yu. Popov, Matem. sb., 204:5 (2013), 67–108 | DOI | MR | Zbl

[4] B. Ya. Levin, Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956 | MR | Zbl

[5] A. Denjoy, J. Math. (6), 6 (1910), 1–136 | Zbl

[6] A. A. Goldberg, I. V. Ostrovskii, Raspredelenie znachenii meromorfnykh funktsii, Nauka, M., 1970 | MR | Zbl

[7] B. N. Khabibullin, Matem. sb., 200:2 (2009), 129–158 | DOI | MR | Zbl

[8] E. Seneta, Pravilno menyayuschiesya funktsii, Nauka, M., 1985 | MR | Zbl