Fourier series of functions involving higher-order ordered Bell polynomials

Taekyun Kim, et al. "Fourier series of functions involving higher-order ordered Bell polynomials." Open Mathematics 15.1 (2017): 1606-1617. <http://eudml.org/doc/288385>.

@article{TaekyunKim2017,
abstract = {In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the preferred arrangement numbers). In this paper, we study Fourier series of functions related to higher-order ordered Bell polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.},
author = {Taekyun Kim, Dae San Kim, Gwan-Woo Jang, Lee Chae Jang},
journal = {Open Mathematics},
keywords = {Fourier series; Bernoulli functions; Higher-order ordered Bell polynomials},
language = {eng},
number = {1},
pages = {1606-1617},
title = {Fourier series of functions involving higher-order ordered Bell polynomials},
url = {http://eudml.org/doc/288385},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Taekyun Kim
AU - Dae San Kim
AU - Gwan-Woo Jang
AU - Lee Chae Jang
TI - Fourier series of functions involving higher-order ordered Bell polynomials
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1606
EP - 1617
AB - In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the preferred arrangement numbers). In this paper, we study Fourier series of functions related to higher-order ordered Bell polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.
LA - eng
KW - Fourier series; Bernoulli functions; Higher-order ordered Bell polynomials
UR - http://eudml.org/doc/288385
ER -