Open AccessRADEMACHER CHAOSES AND BERNOULLI POLYNOMIALS
Author(s) -
R. S. Sukhanov
Publication year - 2012
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2012-18-3.1-66-73
Subject(s) - bernoulli's principle , mathematics , order (exchange) , bernoulli polynomials , bernoulli number , polynomial , series (stratigraphy) , combinatorics , discrete mathematics , pure mathematics , difference polynomials , orthogonal polynomials , mathematical analysis , physics , economics , paleontology , finance , biology , thermodynamics
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