Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on
We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/817157 |
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| _version_ | 1850219882299260928 |
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| author | H. Y. Lee N. S. Jung J. Y. Kang C. S. Ryoo |
| author_facet | H. Y. Lee N. S. Jung J. Y. Kang C. S. Ryoo |
| author_sort | H. Y. Lee |
| collection | DOAJ |
| description | We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane. |
| format | Article |
| id | doaj-art-76231c005ca04dda84617e7fa1fc5dcf |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-76231c005ca04dda84617e7fa1fc5dcf2025-08-20T02:07:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/817157817157Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral onH. Y. Lee0N. S. Jung1J. Y. Kang2C. S. Ryoo3Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaWe generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.http://dx.doi.org/10.1155/2012/817157 |
| spellingShingle | H. Y. Lee N. S. Jung J. Y. Kang C. S. Ryoo Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on International Journal of Mathematics and Mathematical Sciences |
| title | Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on |
| title_full | Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on |
| title_fullStr | Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on |
| title_full_unstemmed | Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on |
| title_short | Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on |
| title_sort | generalized euler numbers and polynomials associated with adic integral on |
| url | http://dx.doi.org/10.1155/2012/817157 |
| work_keys_str_mv | AT hylee generalizedeulernumbersandpolynomialsassociatedwithadicintegralon AT nsjung generalizedeulernumbersandpolynomialsassociatedwithadicintegralon AT jykang generalizedeulernumbersandpolynomialsassociatedwithadicintegralon AT csryoo generalizedeulernumbersandpolynomialsassociatedwithadicintegralon |