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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 4(33), Pages 58–65
DOI: https://doi.org/10.14498/vsgtu1243 (Mi vsgtu1243) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Analysis

Expansion of multiple series in infinite diagonals

A. A. Korneev, O. A. Doroshkevich

Moscow State Humanitarian University named after M. A. Sholokhov, Moscow, 109240, Russia
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DOI: https://doi.org/10.14498/vsgtu1243
Abstract: In this paper a method of summation of double absolutely convergent numerical series was obtained. This method was named the expansion of double numerical series in infinite diagonals. The form of the expansion for symmetric and skew-symmetric general term of double series was established. This expansion was generalized to the case of multiple series. It was called the expansion of multiple numerical series in infinite diagonals for two indices. The expansion of triple series in infinite diagonals for two indices was generalized to the case of three indices.
Keywords: multiple series, double series, method of summation of multiple series, infinite diagonals.
Original article submitted 21/VII/2013
revision submitted – 13/VIII/2013
Bibliographic databases:
Document Type: Article
UDC: 517.521.5; 517.521.7
MSC: 40B05, 40C05
Language: Russian
Citation: A. A. Korneev, O. A. Doroshkevich, “Expansion of multiple series in infinite diagonals”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(33) (2013), 58–65
Citation in format AMSBIB
\Bibitem{KorDor13}
\by A.~A.~Korneev, O.~A.~Doroshkevich
\paper Expansion of multiple series in infinite diagonals
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 4(33)
\pages 58--65
\mathnet{http://mi.mathnet.ru/vsgtu1243}
\crossref{https://doi.org/10.14498/vsgtu1243}
\zmath{https://zbmath.org/?q=an:06968804}
\elib{https://elibrary.ru/item.asp?id=21159185}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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