On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors
Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 309-319.

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

In this paper an estimate is obtained for the deviation value of a $p$-dimensional integral curve of finite lower order in terms of its lower order and its Valiron defect. As a corollary an analogous estimate is obtained for the deviation of a variable polyvector. Also introduced here are the concepts of averaged defects and deviation values for integral curves. It is shown that the estimates for the deviation values of integral curves remain true also for averaged deviation values. Bibliography: 17 titles.
@article{IM2_1976_10_2_a4,
     author = {V. P. Petrenko},
     title = {On the connection between the deviation values and the {Valiron} defects for integral curves and variable polyvectors},
     journal = {Izvestiya. Mathematics },
     pages = {309--319},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a4/}
}
TY  - JOUR
AU  - V. P. Petrenko
TI  - On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors
JO  - Izvestiya. Mathematics 
PY  - 1976
SP  - 309
EP  - 319
VL  - 10
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a4/
LA  - en
ID  - IM2_1976_10_2_a4
ER  - 
%0 Journal Article
%A V. P. Petrenko
%T On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors
%J Izvestiya. Mathematics 
%D 1976
%P 309-319
%V 10
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a4/
%G en
%F IM2_1976_10_2_a4
V. P. Petrenko. On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors. Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 309-319. http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a4/

[1] Weyl H., Meromorphic functions and analytic curves, Princeton, 1943 | MR

[2] Ahlfors L., “The theory of meromorphic curves”, Acta Soc. Sci. fenn., 3:4 (1941), 1–31 | MR

[3] Cartan H., “Sur les zéros des combinaisons linéaires de $p$ fonctions holomorphes données”, Mathématica, 7 (1933), 5–31 | Zbl

[4] Goldberg A. A., “Nekotorye voprosy teorii raspredeleniya znachenii”, dopolnenie k knige: G. Vittikh, Noveishie issledovaniya po odnoznachnym analiticheskim funktsiyam, Fizmatgiz, M., 1960 | MR

[5] By X., Teoriya ravnoraspredeleniya dlya golomorfnykh krivykh, Mir, M., 1973 | MR

[6] Petrenko V. P., “Rost meromorfnykh funktsii konechnogo nizhnego poryadka”, Izv. AN SSSR. Ser. matem., 33 (1969), 414–454 | MR | Zbl

[7] Petrenko V. P., “O velichinakh otklonenii tselykh krivykh nizhnego poryadka $\lambda1$”, Dokl. AN SSSR, 207:3 (1972), 538–540 | MR | Zbl

[8] Petrenko V. P., Khussain M., “O roste tselykh krivykh”, Izv. AN SSSR. Ser. matem., 37 (1973), 466–477 | MR | Zbl

[9] Petrenko V. P., “O roste tselykh krivykh nizhnego poryadka $\lambda1$”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, vyp. 20, Kharkov, 1974, 134–141 | MR | Zbl

[10] Proskurnya I. P., “O roste meromorfnykh funktsii beskonechnogo nizhnego poryadka”, Dokl. AN SSSR, 209:3 (1973), 558–561 | Zbl

[11] Petrenko V. P., “Rost meromorfnoi funktsii po luchu”, Dokl. AN SSSR, 155:2 (1964), 281–284 | MR | Zbl

[12] Lamzina T. B., “O velichinakh otklonenii meromorfnykh funktsii”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, vyp. 14, Kharkov, 1971, 169–185 | MR | Zbl

[13] Lamzina T. B., “O roste meromorfnykh funktsii i tselykh krivykh”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, vyp. 18, Kharkov, 1973, 202–215 | MR | Zbl

[14] Niino K., “On the growth of algebroid functions of finite lower order”, Kodai Math. Semin. Repts, 25:4 (1973), 385–391 | DOI | MR | Zbl

[15] Fuchs W. H. J., “Topics in Nevanlinna theory”, Proceeding of the NRL Conference on classical function Theory, 1970, 1–32 | MR | Zbl

[16] Kamke E., Integral Lebega–Stiltesa, Fizmatgiz, M., 1959

[17] Petrenko V. P., “O roste tselykh krivykh konechnogo nizhnego poryadka”, Matem. sb., 97(139):4(8) (1975), 469–492 | MR | Zbl