Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function
We study that the q-Euler numbers En,q and q-Euler polynomials En,q(x) are analytic continued to Eq(s) and Eq(s,w). We investigate the new concept of dynamics of the zeros of analytic continued polynomials. Finally, we observe an interesting phenomenon of ‘‘scattering’’ of the zeros of Eq(s,w)....
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/806239 |
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| _version_ | 1832558811209007104 |
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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 q-Euler numbers En,q and q-Euler polynomials En,q(x) are analytic continued to Eq(s) and Eq(s,w). We investigate the new concept of dynamics of the zeros of analytic continued polynomials. Finally, we observe an interesting phenomenon of ‘‘scattering’’ of the zeros of Eq(s,w). |
| format | Article |
| id | doaj-art-84f73b590bd747c6ae1bd73d9a398523 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-84f73b590bd747c6ae1bd73d9a3985232025-02-03T01:31:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/806239806239Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta FunctionC. S. Ryoo0Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaWe study that the q-Euler numbers En,q and q-Euler polynomials En,q(x) are analytic continued to Eq(s) and Eq(s,w). We investigate the new concept of dynamics of the zeros of analytic continued polynomials. Finally, we observe an interesting phenomenon of ‘‘scattering’’ of the zeros of Eq(s,w).http://dx.doi.org/10.1155/2014/806239 |
| spellingShingle | C. S. Ryoo Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function Journal of Applied Mathematics |
| title | Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function |
| title_full | Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function |
| title_fullStr | Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function |
| title_full_unstemmed | Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function |
| title_short | Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function |
| title_sort | zeros of analytic continued q euler polynomials and q euler zeta function |
| url | http://dx.doi.org/10.1155/2014/806239 |
| work_keys_str_mv | AT csryoo zerosofanalyticcontinuedqeulerpolynomialsandqeulerzetafunction |