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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 3, Pages 56–66
DOI: https://doi.org/10.26907/0021-3446-2021-3-56-66 (Mi ivm9657) 		 
An existence domain of the sum of exponential monomials series

O. A. Krivosheevaa, A. S. Krivosheevb

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
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DOI: https://doi.org/10.26907/0021-3446-2021-3-56-66
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.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Received: 22.04.2020
Revised: 17.05.2020
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 3, Pages 51–60
DOI: https://doi.org/10.3103/S1066369X21030051
Bibliographic databases:
Document Type: Article
UDC: 517.537
Language: Russian
Citation: O. A. Krivosheeva, A. S. Krivosheev, “An existence domain of the sum of exponential monomials series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3, 56–66; Russian Math. (Iz. VUZ), 65:3 (2021), 51–60
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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