Sums of finite products of ordered Bell functions

Dmitry V. Dolgy; Dae San Kim; Taekyun Kim; Gwan Woo Jang; Toufik Mansour

doi:10.17777/ascm2018.28.3.381

Sums of finite products of ordered Bell functions

Dmitry V. Dolgy, Dae San Kim, Taekyun Kim, Gwan Woo Jang, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

We study three different types of sums of finite products of ordered Bell functions. We derive Fourier series expansion for them and express each of them in terms of Bernoulli functions.

Original language	American English
Pages (from-to)	381-391
Number of pages	11
Journal	Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume	28
Issue number	3
DOIs	https://doi.org/10.17777/ascm2018.28.3.381
State	Published - 2018

Keywords

Bernoulli functions
Fourier series
Ordered bell functions
Ordered bell polynomials

All Science Journal Classification (ASJC) codes

General Mathematics

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10.17777/ascm2018.28.3.381

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title = "Sums of finite products of ordered Bell functions",

abstract = "We study three different types of sums of finite products of ordered Bell functions. We derive Fourier series expansion for them and express each of them in terms of Bernoulli functions.",

keywords = "Bernoulli functions, Fourier series, Ordered bell functions, Ordered bell polynomials",

author = "Dolgy, {Dmitry V.} and Kim, {Dae San} and Taekyun Kim and Jang, {Gwan Woo} and Toufik Mansour",

note = "Publisher Copyright: {\textcopyright} 2018 JANGJEON Mathematical Society.",

year = "2018",

doi = "10.17777/ascm2018.28.3.381",

language = "American English",

volume = "28",

pages = "381--391",

journal = "Advanced Studies in Contemporary Mathematics (Kyungshang)",

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publisher = "Jangjeon Mathematical Society",

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T1 - Sums of finite products of ordered Bell functions

AU - Dolgy, Dmitry V.

AU - Kim, Dae San

AU - Kim, Taekyun

AU - Jang, Gwan Woo

AU - Mansour, Toufik

PY - 2018

Y1 - 2018

N2 - We study three different types of sums of finite products of ordered Bell functions. We derive Fourier series expansion for them and express each of them in terms of Bernoulli functions.

AB - We study three different types of sums of finite products of ordered Bell functions. We derive Fourier series expansion for them and express each of them in terms of Bernoulli functions.

KW - Bernoulli functions

KW - Fourier series

KW - Ordered bell functions

KW - Ordered bell polynomials

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U2 - 10.17777/ascm2018.28.3.381

DO - 10.17777/ascm2018.28.3.381

M3 - Article

SN - 1229-3067

VL - 28

SP - 381

EP - 391

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

IS - 3

ER -

Sums of finite products of ordered Bell functions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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