Fourier series of functions involving higher-order ordered Bell polynomials

• Autorzy: Taekyun Kim , Dae San Kim , Gwan-Woo Jang , Lee Chae Jang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fourier series; Bernoulli functions; Higher-order ordered Bell polynomials

Kategorie tematyczne

• 05A19: Combinatorial identities, bijective combinatorics
• 11B73: Bell and Stirling numbers
• 11B83: Special sequences and polynomials

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1606-1617

Daty

wydano

2017-01-01

otrzymano

2017-04-07

zaakceptowano

2017-12-04

online

2017-12-29

Twórcy

autor

Taekyun Kim

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autor

Dae San Kim

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autor

Gwan-Woo Jang

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autor

Lee Chae Jang

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Identyfikatory

DOI

10.1515/math-2017-0134