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 |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/351419 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |