This article is cited 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

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.

UDC: 517.55+517.962.26

Received: 07.04.2016
Received in revised form: 18.05.2016
Accepted: 20.06.2016

Language: English

DOI: 10.17516/1997-1397-2016-9-3-384-392

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