On the multiple <Emphasis Type="Italic">q</Emphasis>-Genocchi and Euler numbers |
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Authors: | T Kim |
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Institution: | (1) Division of General Education-Mathematics, Kwangwoon University, Seoul, 139-704, Republic of Korea |
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Abstract: | The purpose of this paper is to present a systematic study of some families of multiple q-Genocchi and Euler numbers by using the multivariate q-Volkenborn integral (= p-adic q-integral) on ℤ
p
. The investigation of these q-Genocchi numbers and polynomials of higher order leads to interesting identities related to these objects. The results of
the present paper cover earlier results concerning ordinary q-Genocchi numbers and polynomials.
This paper is supported by Jangjeon Research Institute for Mathematical Science (JRIMS-11R-2007). |
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Keywords: | |
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