Bernoulli Polynomials in Several Variables and Summation of Monomials over Lattice Points of a Rational Parallelotope

The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler. The term ''Bernoulli polynomials'' was...

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Bibliographic Details
Main Author: O. Shishkina
Format: Article
Language:English
Published: Irkutsk State University 2016-06-01
Series:Известия Иркутского государственного университета: Серия "Математика"
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Online Access:http://isu.ru/journal/downloadArticle?article=_8c77b92dca0945128324512895afd55d&lang=rus