Some Identities for Euler and Bernoulli Polynomials and Their Zeros

In this paper, we study some special polynomials which are related to Euler and Bernoulli polynomials. In addition, we give some identities for these polynomials. Finally, we investigate the zeros of these polynomials by using the computer.

Bibliographic Details
Main Authors:	Taekyun Kim, Cheon Seoung Ryoo
Format:	Article
Language:	English
Published:	MDPI AG 2018-08-01
Series:	Axioms
Subjects:	Appell sequence Appell numbers and polynomials Bernoulli and Euler polynomials cosine–Bernoulli and cosine–Euler polynomials sine–Bernoulli and sine–Euler polynomials
Online Access:	http://www.mdpi.com/2075-1680/7/3/56

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spelling	doaj-556427e660a84f97ab8606c77c31b2b12020-11-25T00:13:25ZengMDPI AGAxioms2075-16802018-08-01735610.3390/axioms7030056axioms7030056Some Identities for Euler and Bernoulli Polynomials and Their ZerosTaekyun Kim0Cheon Seoung Ryoo1Department of Mathematics, Kwangwoon University, Seoul 139-701, KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, KoreaIn this paper, we study some special polynomials which are related to Euler and Bernoulli polynomials. In addition, we give some identities for these polynomials. Finally, we investigate the zeros of these polynomials by using the computer.http://www.mdpi.com/2075-1680/7/3/56Appell sequenceAppell numbers and polynomialsBernoulli and Euler polynomialscosine–Bernoulli and cosine–Euler polynomialssine–Bernoulli and sine–Euler polynomials
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Taekyun Kim Cheon Seoung Ryoo
spellingShingle	Taekyun Kim Cheon Seoung Ryoo Some Identities for Euler and Bernoulli Polynomials and Their Zeros Axioms Appell sequence Appell numbers and polynomials Bernoulli and Euler polynomials cosine–Bernoulli and cosine–Euler polynomials sine–Bernoulli and sine–Euler polynomials
author_facet	Taekyun Kim Cheon Seoung Ryoo
author_sort	Taekyun Kim
title	Some Identities for Euler and Bernoulli Polynomials and Their Zeros
title_short	Some Identities for Euler and Bernoulli Polynomials and Their Zeros
title_full	Some Identities for Euler and Bernoulli Polynomials and Their Zeros
title_fullStr	Some Identities for Euler and Bernoulli Polynomials and Their Zeros
title_full_unstemmed	Some Identities for Euler and Bernoulli Polynomials and Their Zeros
title_sort	some identities for euler and bernoulli polynomials and their zeros
publisher	MDPI AG
series	Axioms
issn	2075-1680
publishDate	2018-08-01
description	In this paper, we study some special polynomials which are related to Euler and Bernoulli polynomials. In addition, we give some identities for these polynomials. Finally, we investigate the zeros of these polynomials by using the computer.
topic	Appell sequence Appell numbers and polynomials Bernoulli and Euler polynomials cosine–Bernoulli and cosine–Euler polynomials sine–Bernoulli and sine–Euler polynomials
url	http://www.mdpi.com/2075-1680/7/3/56
work_keys_str_mv	AT taekyunkim someidentitiesforeulerandbernoullipolynomialsandtheirzeros AT cheonseoungryoo someidentitiesforeulerandbernoullipolynomialsandtheirzeros
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Some Identities for Euler and Bernoulli Polynomials and Their Zeros

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