Analytic Continuation of Euler Polynomials and the Euler Zeta Function
We study that the Euler numbers En and Euler polynomials Enz are analytically continued to Es and E(s,w). We investigate the new concept of dynamics of the zeros of analytica continued polynomials. Finally, we observe an interesting phenomenon of “scattering” of the zeros of E(s,w).
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/568129 |
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| _version_ | 1832556689892573184 |
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| author | C. S. Ryoo |
| author_facet | C. S. Ryoo |
| author_sort | C. S. Ryoo |
| collection | DOAJ |
| description | We study that the Euler numbers En and Euler polynomials Enz are analytically continued to Es and E(s,w). We investigate the new concept of dynamics of the zeros of analytica continued polynomials. Finally, we observe an interesting phenomenon of “scattering” of the zeros of E(s,w). |
| format | Article |
| id | doaj-art-90ba4ca10a874e939529631e9b836c7a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-90ba4ca10a874e939529631e9b836c7a2025-02-03T05:44:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/568129568129Analytic Continuation of Euler Polynomials and the Euler Zeta FunctionC. S. Ryoo0Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaWe study that the Euler numbers En and Euler polynomials Enz are analytically continued to Es and E(s,w). We investigate the new concept of dynamics of the zeros of analytica continued polynomials. Finally, we observe an interesting phenomenon of “scattering” of the zeros of E(s,w).http://dx.doi.org/10.1155/2014/568129 |
| spellingShingle | C. S. Ryoo Analytic Continuation of Euler Polynomials and the Euler Zeta Function Discrete Dynamics in Nature and Society |
| title | Analytic Continuation of Euler Polynomials and the Euler Zeta Function |
| title_full | Analytic Continuation of Euler Polynomials and the Euler Zeta Function |
| title_fullStr | Analytic Continuation of Euler Polynomials and the Euler Zeta Function |
| title_full_unstemmed | Analytic Continuation of Euler Polynomials and the Euler Zeta Function |
| title_short | Analytic Continuation of Euler Polynomials and the Euler Zeta Function |
| title_sort | analytic continuation of euler polynomials and the euler zeta function |
| url | http://dx.doi.org/10.1155/2014/568129 |
| work_keys_str_mv | AT csryoo analyticcontinuationofeulerpolynomialsandtheeulerzetafunction |