Geodesic
An existence domain of the sum of exponential monomials series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2021), pp. 56-66

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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, singular point
Mots-clés : convex domain, convergence domain, existence domain. 
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     author = {O. A. Krivosheeva and A. S. Krivosheev},
     title = {An existence domain of the sum of exponential monomials series},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {56--66},
     publisher = {mathdoc},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_3_a4/}
}
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O. A. Krivosheeva; A. S. Krivosheev. An existence domain of the sum of exponential monomials series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2021), pp. 56-66. http://geodesic.mathdoc.fr/item/IVM_2021_3_a4/