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On interpolation functions of the twisted generalized Frobenius-Euler numbers
Y. Simsek,V. Kurt,O. Yurekli 장전수학회 2007 Advanced Studies in Contemporary Mathematics Vol.15 No.2
The main purpose of this paper is to apply 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 integral representation of twisted lH;q-function, which interpolates twisted q-generalized Frobenius- Euler numbers at negative integers. We also define twisted q-zeta functions. Furthermore, we give relation between twisted lH;q-functions and twisted q-zeta functions. We obtain new results related to the twisted lH;q-function, as well.