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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 4, Pages 503–508
DOI: https://doi.org/10.17516/1997-1397-2019-12-4-503-508 (Mi jsfu779) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The discrete analog of the Newton–Leibniz formula in the problem of summation over simplex lattice points

Evgeniy K. Leinartas, Olga A. Shishkina

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (103 kB) Citations (9)
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DOI: https://doi.org/10.17516/1997-1397-2019-12-4-503-508
Abstract: Definition of the discrete primitive function is introduced in the problem of summation over simplex lattice points. The discrete analog of the Newton–Leibniz formula is found.
Keywords: summation of functions, discrete primitive function, discrete analog of the Newton–Leibniz formula.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41011_Uzb_t
18-31-00232
The work was supported by RFFI (grant 18-51-41011 Uzb_t) and by RFBR (research project 18-31-00232).
Received: 18.01.2019
Received in revised form: 25.02.2019
Accepted: 20.04.2019
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.962.26
Language: English
Citation: Evgeniy K. Leinartas, Olga A. Shishkina, “The discrete analog of the Newton–Leibniz formula in the problem of summation over simplex lattice points”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 503–508
Citation in format AMSBIB
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\by Evgeniy~K.~Leinartas, Olga~A.~Shishkina
\paper The discrete analog of the Newton--Leibniz formula in the problem of summation over simplex lattice points
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 4
\pages 503--508
\mathnet{http://mi.mathnet.ru/jsfu779}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-4-503-508}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000483323900013}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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