Series of sums of products of higherorder Bernoulli functions
It is shown in a previous work that FaberPandharipandeZagier’s and Miki’s identities can be derived from a polynomial identity, which in turn follows from the Fourier series expansion of sums of products of Bernoulli functions. Motivated by and generalizing this, we consider three types of functio... Full description
Journal Title:  Journal of Inequalities and Applications 2017, Vol.2017(1), pp.116 
Main Author:  Kim, Taekyun 
Other Authors:  Kim, Dae , Jang, GwanWoo , Kwon, Jongkyum 
Format:  Electronic Article 
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English 
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ID:  EISSN: 1029242X ; DOI: 10.1186/s1366001714949 
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recordid:  springer_jour10.1186/s1366001714949 
title:  Series of sums of products of higherorder Bernoulli functions 
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ispartof:  Journal of Inequalities and Applications, 2017, Vol.2017(1), pp.116 
description:  It is shown in a previous work that FaberPandharipandeZagier’s and Miki’s identities can be derived from a polynomial identity, which in turn follows from the Fourier series expansion of sums of products of Bernoulli functions. Motivated by and generalizing this, we consider three types of functions given by sums of products of higherorder Bernoulli functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions. 
language:  eng 
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identifier:  EISSN: 1029242X ; DOI: 10.1186/s1366001714949 
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