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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-08-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2075-1680/7/3/56 |
| _version_ | 1818552595444137984 |
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| author | Taekyun Kim Cheon Seoung Ryoo |
| author_facet | Taekyun Kim Cheon Seoung Ryoo |
| author_sort | Taekyun Kim |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-12T09:15:14Z |
| format | Article |
| id | doaj.art-556427e660a84f97ab8606c77c31b2b1 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-12T09:15:14Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-556427e660a84f97ab8606c77c31b2b12022-12-22T00:29:24ZengMDPI 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 |
| 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 |
| title | 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_short | Some Identities for Euler and Bernoulli Polynomials and Their Zeros |
| title_sort | some identities for euler and bernoulli polynomials and their zeros |
| 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 |
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