On generalization of the theorem of Picard
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2014), pp. 64-66.

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

The present article is devoted to the generalization of the classic theorem of Picard on entire functions in case of $\mathcal{A}$-valued analitycal functions.
Keywords: topological algebra, $\mathcal{A}$-differentiation.
@article{UZERU_2014_2_a9,
     author = {H. A. Kamalyan},
     title = {On generalization of the theorem of {Picard}},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {64--66},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2014_2_a9/}
}
TY  - JOUR
AU  - H. A. Kamalyan
TI  - On generalization of the theorem of Picard
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2014
SP  - 64
EP  - 66
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2014_2_a9/
LA  - en
ID  - UZERU_2014_2_a9
ER  - 
%0 Journal Article
%A H. A. Kamalyan
%T On generalization of the theorem of Picard
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2014
%P 64-66
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2014_2_a9/
%G en
%F UZERU_2014_2_a9
H. A. Kamalyan. On generalization of the theorem of Picard. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2014), pp. 64-66. http://geodesic.mathdoc.fr/item/UZERU_2014_2_a9/

[1] J.P. Williams, “On Commutativity and Numerical Range in Banach Algebras”, Journal of Functional Analysis, 10 (1972), 326–323 | DOI | MR

[2] M.I. Karakhanyan, “An Asymptotic Version of General Commutator Theorems”, Functional Anal. i Prilozhen, 39 (2005), 4 (in Russian) | MR

[3] M.I. Karakhanyan, H.A. Kamalyan, “A Remark on Commutativity of the Image of A-Valued Analytic Function”, Izvestia NAN Armenii. Matematika, 48:2 (2013), 39–42 | MR

[4] A.Ya. Helemski, The Homology of Banach and Topological Algebras, Izd. MGU, M., 1986 (in Russian)

[5] J.F. Bonsall, J. Dunkan, Complete Normed Algebras, Springer-Verlag, Berlin–Heidelberg–New-York, 1973 | MR

[6] S. Stoilov, Theory of Functions of a Complex Variable, v. 2, Inostr Literatura, M., 1962 (in Russian)

[7] M.I. Karakhanyan, “On the Abstract Theorem of Picard”, Lobachevskii J. Math., 18 (2005), 127–130 | MR