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-Analogue of twisted -series and -twisted Euler numbers

✍ Scribed by Yilmaz Simsek

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 197 KB
Volume: 110
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.07.003

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✦ Synopsis

We define generating functions of q-generalized Euler numbers and polynomials and twisted q-generalized Euler numbers and polynomials. By using these functions, we give some properties of these numbers. We construct a complex twisted l q -functions which interpolate twisted qgeneralized Euler numbers. As an application, we obtain the values of twisted l q -functions at non-positive integers. Therefore, we find a relation between twisted l q -functions and twisted q-generalized numbers explicitly.

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