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Journal of Siberian Federal University. Mathematics & Physics, 2015, Volume 8, Issue 1, Pages 86–93 (Mi jsfu409)  
This article is cited in 5 scientific papers (total in 5 papers)

The Euler–Maclaurin formula and differential operators of infinite order

Olga A. Shishkina

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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Abstract: We use methods of the theory of differential operators of infinite order for solving difference equations and for generalizing the Euler–Maclaurin formula in the case of multiple summation.
Keywords: indefinite summation, difference equations, differential operators of infinite order.
Received: 11.09.2014
Received in revised form: 02.10.2014
Accepted: 27.11.2014
Document Type: Article
UDC: 517.55+517.96
Language: English
Citation: Olga A. Shishkina, “The Euler–Maclaurin formula and differential operators of infinite order”, J. Sib. Fed. Univ. Math. Phys., 8:1 (2015), 86–93
Citation in format AMSBIB
\Bibitem{Shi15}
\by Olga~A.~Shishkina
\paper The Euler--Maclaurin formula and differential operators of infinite order
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 1
\pages 86--93
\mathnet{http://mi.mathnet.ru/jsfu409}
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    • This publication is cited in the following 5 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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