O. A. Krivosheeva, A. S. Krivosheev, “An existence domain of the sum of exponential monomials series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, Number 3,Pages <nobr>56

An existence domain of the sum of exponential monomials series

O. A. Krivosheeva^a, A. S. Krivosheev^b

^a Baskir State University, 32 Zaki Validi str., Ufa, 450076 Russia
^b Institute of Mathematics, Ufa Federal Research Center, Russian Academy of Science, 112 Chernyshevsky str., Ufa, 450008 Russia

Abstract: In this paper series of exponential monomials are considered. We study conditions on sequences of indexes such that existence domains of the sum of these series coincide with their convergence domains.

Keywords: series of exponential monomials, convex domain, singular point, convergence domain, existence domain.

UDC: 517.537

Received: 22.04.2020
Revised: 17.05.2020
Accepted: 29.06.2020

DOI: 10.26907/0021-3446-2021-3-56-66