Fourier Series of the Periodic Bernoulli and Euler Functions
We give some properties of the periodic Bernoulli functions and study the Fourier series of the periodic Euler functions which are derived periodic functions from the Euler polynomials. And we derive the relations between the periodic Bernoulli functions and those from Euler polynomials by using the...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/856491 |
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| _version_ | 1849467391609667584 |
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| author | Cheon Seoung Ryoo Hyuck In Kwon Jihee Yoon Yu Seon Jang |
| author_facet | Cheon Seoung Ryoo Hyuck In Kwon Jihee Yoon Yu Seon Jang |
| author_sort | Cheon Seoung Ryoo |
| collection | DOAJ |
| description | We give some properties of the periodic Bernoulli functions and study the Fourier series of the periodic Euler functions which are derived periodic functions from the Euler polynomials. And we derive the relations between the periodic Bernoulli functions and those from Euler polynomials by using the Fourier series. |
| format | Article |
| id | doaj-art-dec29f6203cf42b581ab3a22bda3a1af |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dec29f6203cf42b581ab3a22bda3a1af2025-08-20T03:26:15ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/856491856491Fourier Series of the Periodic Bernoulli and Euler FunctionsCheon Seoung Ryoo0Hyuck In Kwon1Jihee Yoon2Yu Seon Jang3Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Applied Mathematics, Kangnam University, Yongin 446-702, Republic of KoreaWe give some properties of the periodic Bernoulli functions and study the Fourier series of the periodic Euler functions which are derived periodic functions from the Euler polynomials. And we derive the relations between the periodic Bernoulli functions and those from Euler polynomials by using the Fourier series.http://dx.doi.org/10.1155/2014/856491 |
| spellingShingle | Cheon Seoung Ryoo Hyuck In Kwon Jihee Yoon Yu Seon Jang Fourier Series of the Periodic Bernoulli and Euler Functions Abstract and Applied Analysis |
| title | Fourier Series of the Periodic Bernoulli and Euler Functions |
| title_full | Fourier Series of the Periodic Bernoulli and Euler Functions |
| title_fullStr | Fourier Series of the Periodic Bernoulli and Euler Functions |
| title_full_unstemmed | Fourier Series of the Periodic Bernoulli and Euler Functions |
| title_short | Fourier Series of the Periodic Bernoulli and Euler Functions |
| title_sort | fourier series of the periodic bernoulli and euler functions |
| url | http://dx.doi.org/10.1155/2014/856491 |
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