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On interpolation functions of the twisted generalized Frobenius-Euler numbers

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Abstract

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.

참고문헌 (37)

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