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Axioms 2018, 7(3), 56; https://doi.org/10.3390/axioms7030056

Some Identities for Euler and Bernoulli Polynomials and Their Zeros

1
Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea
2
Department of Mathematics, Hannam University, Daejeon 306-791, Korea
*
Author to whom correspondence should be addressed.
Received: 30 June 2018 / Revised: 27 July 2018 / Accepted: 11 August 2018 / Published: 14 August 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications)
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Abstract

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. View Full-Text
Keywords: Appell sequence; Appell numbers and polynomials; Bernoulli and Euler polynomials; cosine–Bernoulli and cosine–Euler polynomials; sine–Bernoulli and sine–Euler polynomials Appell sequence; Appell numbers and polynomials; Bernoulli and Euler polynomials; cosine–Bernoulli and cosine–Euler polynomials; sine–Bernoulli and sine–Euler polynomials
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Kim, T.; Ryoo, C.S. Some Identities for Euler and Bernoulli Polynomials and Their Zeros. Axioms 2018, 7, 56.

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