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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 3/1(94), Pages 66–73
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Rademacher chaoses and Bernoulli polynomials
R. S. Sukhanov Dept. of Functional Analysis and Theory of Functions, Samara State
University, Samara, 443011, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In this paper we prove that any Bernoulli polynomial of even (odd) order is an absolutely convergent series of functions from some Rademacher chaoses, each of them is of even (odd) order.
Keywords:
Rademacher chaoses, Bernoulli polynomials, integration of Rademacher sums.
Received: 12.03.2012 Revised: 12.03.2012
Citation:
R. S. Sukhanov, “Rademacher chaoses and Bernoulli polynomials”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 3/1(94), 66–73
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https://www.mathnet.ru/eng/vsgu6 https://www.mathnet.ru/eng/vsgu/y2012/i3/p66
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Abstract page: | 161 | Full-text PDF : | 68 | References: | 42 | First page: | 1 |
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