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Matematicheskie Zametki, 2002, Volume 71, Issue 6, Pages 931–936
DOI: https://doi.org/10.4213/mzm397 (Mi mzm397) 		 
This article is cited in 9 scientific papers (total in 9 papers)

A Discrete Analog of Euler's Summation Formula

A. V. Ustinov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (148 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm397
Abstract: In this paper, we prove a discrete analog of Euler's summation formula. The difference from the classical Euler formula is in that the derivatives are replaced by finite differences and the integrals by finite sums. Instead of Bernoulli numbers and Bernoulli polynomials, special numbers $P_n$ and special polynomials $P_n(x)$ introduced by Korobov in 1996 appear in the formula.
Received: 13.03.2001
Revised: 26.11.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 6, Pages 851–856
DOI: https://doi.org/10.1023/A:1015833231580
Bibliographic databases:
UDC: 511.217
Language: Russian
Citation: A. V. Ustinov, “A Discrete Analog of Euler's Summation Formula”, Mat. Zametki, 71:6 (2002), 931–936; Math. Notes, 71:6 (2002), 851–856
Citation in format AMSBIB
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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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    		Математические заметки Mathematical Notes
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