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Zbl 1217.11115
Simsek, Yilmaz; Yurekli, Osman; Kurt, Veli
On interpolation functions of the twisted generalized Frobenius-Euler numbers. (English)
[J] Adv. Stud. Contemp. Math., Kyungshang 15, No. 2, 187-194 (2007). ISSN 1229-3067

Summary: The main purpose of this paper is to apply the Mellin transform to the generating functions of $q$-generalized Frobenius-Euler numbers and twisted $q$-generalized Frobenius-Euler numbers. By using this result, we define an integral representation of twisted $l_{H,q}$-functions, which interpolates twisted $q$-generalized Frobenius-Euler numbers at negative integers. We also define twisted $q$-zeta functions. Furthermore, we give a relation between twisted $l_{H,q}$-functions and twisted $q$-zeta functions. We obtain new results related to the twisted $l_{H,q}$-function as well.

MSC 2000:: *11S40 Zeta functions and L-functions of local number fields
11S80 Other analytic theory of local fields
11B68 Bernoulli numbers, etc.

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