On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi Polynomials
<p>Abstract</p> <p>Recently, many mathematicians have studied various kinds of the <inline-formula> <graphic file="1029-242X-2010-351419-i2.gif"/></inline-formula>-analogue of Genocchi numbers and polynomials. In the work (New approach to <it>q<...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/351419 |
| _version_ | 1818992888491540480 |
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| author | Jin Jeong-Hee Moon Eun-Jung Lee Sun-Jung Rim Seog-Hoon |
| author_facet | Jin Jeong-Hee Moon Eun-Jung Lee Sun-Jung Rim Seog-Hoon |
| author_sort | Jin Jeong-Hee |
| collection | DOAJ |
| description | <p>Abstract</p> <p>Recently, many mathematicians have studied various kinds of the <inline-formula> <graphic file="1029-242X-2010-351419-i2.gif"/></inline-formula>-analogue of Genocchi numbers and polynomials. In the work (New approach to <it>q</it>-Euler, Genocchi numbers and their interpolation functions, "Advanced Studies in Contemporary Mathematics, vol. 18, no. 2, pp. 105–112, 2009.", Kim defined new generating functions of <inline-formula> <graphic file="1029-242X-2010-351419-i3.gif"/></inline-formula>-Genocchi, <inline-formula> <graphic file="1029-242X-2010-351419-i4.gif"/></inline-formula>-Euler polynomials, and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type <inline-formula> <graphic file="1029-242X-2010-351419-i5.gif"/></inline-formula>-zeta function. This function interpolates <inline-formula> <graphic file="1029-242X-2010-351419-i6.gif"/></inline-formula>-Genocchi polynomials at negative integers. Finally, we also give some identities related to these polynomials.</p> |
| first_indexed | 2024-12-20T20:33:19Z |
| format | Article |
| id | doaj.art-3b0ad750894e4f1d9b20c70fe600fb7b |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-20T20:33:19Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-3b0ad750894e4f1d9b20c70fe600fb7b2022-12-21T19:27:18ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101351419On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi PolynomialsJin Jeong-HeeMoon Eun-JungLee Sun-JungRim Seog-Hoon<p>Abstract</p> <p>Recently, many mathematicians have studied various kinds of the <inline-formula> <graphic file="1029-242X-2010-351419-i2.gif"/></inline-formula>-analogue of Genocchi numbers and polynomials. In the work (New approach to <it>q</it>-Euler, Genocchi numbers and their interpolation functions, "Advanced Studies in Contemporary Mathematics, vol. 18, no. 2, pp. 105–112, 2009.", Kim defined new generating functions of <inline-formula> <graphic file="1029-242X-2010-351419-i3.gif"/></inline-formula>-Genocchi, <inline-formula> <graphic file="1029-242X-2010-351419-i4.gif"/></inline-formula>-Euler polynomials, and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type <inline-formula> <graphic file="1029-242X-2010-351419-i5.gif"/></inline-formula>-zeta function. This function interpolates <inline-formula> <graphic file="1029-242X-2010-351419-i6.gif"/></inline-formula>-Genocchi polynomials at negative integers. Finally, we also give some identities related to these polynomials.</p>http://www.journalofinequalitiesandapplications.com/content/2010/351419 |
| spellingShingle | Jin Jeong-Hee Moon Eun-Jung Lee Sun-Jung Rim Seog-Hoon On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi Polynomials Journal of Inequalities and Applications |
| title | On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi Polynomials |
| title_full | On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi Polynomials |
| title_fullStr | On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi Polynomials |
| title_full_unstemmed | On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi Polynomials |
| title_short | On Multiple Interpolation Functions of the <inline-formula> <graphic file="1029-242X-2010-351419-i1.gif"/></inline-formula>-Genocchi Polynomials |
| title_sort | on multiple interpolation functions of the inline formula graphic file 1029 242x 2010 351419 i1 gif inline formula genocchi polynomials |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/351419 |
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