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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 3, Pages 384–392
DOI: https://doi.org/10.17516/1997-1397-2016-9-3-384-392 (Mi jsfu497) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Multidimensional analog of the Bernoulli polynomials and its properties

Olga A. Shishkina

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2016-9-3-384-392
Abstract: We consider a generalization of the Bernoulli numbers and polynomials to several variables, namely, we define the Bernoulli numbers associated with a rational cone and the corresponding Bernoulli polynomials. Also, we prove some properties of the Bernoulli polynomials.
Keywords: Bernoulli numbers and polynomials, generating functions, Todd operator, rational cone.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
This work is supported by the Russian Federation Government grant to conduct research under the guidance of leading scientists at Siberian Federal University (contract 14.Y26.31.0006).
Received: 07.04.2016
Received in revised form: 18.05.2016
Accepted: 20.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.962.26
Language: English
Citation: Olga A. Shishkina, “Multidimensional analog of the Bernoulli polynomials and its properties”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 384–392
Citation in format AMSBIB
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\by Olga~A.~Shishkina
\paper Multidimensional analog of the Bernoulli polynomials and its properties
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 3
\pages 384--392
\mathnet{http://mi.mathnet.ru/jsfu497}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-3-384-392}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412010000014}
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    • This publication is cited in the following 3 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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