On the convergence classes for entire functions of several complex variables

Author
O. M. Mulyava, M. M. Sheremeta
Ivan Franko National University of Lviv
Abstract
Results on the belonging of entire functions to generalized convergence classes earlier obtained by the authors are carried over on entire functions of several complex variables.
Keywords
entire function of several variables; convergence class
DOI
doi:10.15330/ms.46.1.67-71
Reference
1. Sheremeta M.M. On two classes of positive functions and belonging to them of main characteristic of entire functions// Mat. Stud. – 2003. – V.19, Ή1. – P. 73–82.

2. Mulyva O.M. Convergence classes in the theory of Dirichlet series// Ukr. Mat. Zh. – 1999. – Ή3. – P. 35–39. (in Ukrainian)

3. Filevych P.V., Sheremeta M.M. On a convergence class for entire functions// Bull. Soc. Sci. Lettres Lodz, 53, Ser. Rech. Deform. – 2003. – V.40. – P. 5–16.

4. Mulyava O.M., Sheremeta M.M. On a convergence class for Dirichlet series// Bull. Soc. Sci. Lettres Lodz, 50, Ser. Rech. Deform. – 2000. – V.30. – P. 23–30.

5. Gol’dberg A.A. Elementary remarks on the formulas for the determination of the order and the type of entire funtions of several variables// Dokl. AN Arm. SSR. – 1959. – V.29, Ή4. – P. 145–151. (in Russian)

6. Mulyava O.M. On the belonging of entire functions of several variables to convergence classes// Modern stientific-methodical problems in higher school. Materials of International stientific-methodical Conference: NUFT, 2015. – P. 149–151. (in Ukrainian)

7. Skaskiv O.B., Tarnovetska O.Yu. On convergence classes for series, similar to Taylor-Dirichlet series// Bukovyn. mat. journ. – 2015. – V.3, Ή3–4. – P. 170–172. (in Ukrainian)

Pages
67-71
Volume
46
Issue
1
Year
2016
Journal
Matematychni Studii
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