논문KCI 등재
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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관련 논문AI추천
On twisted generalized Euler numbersYilmaz Simsek대한수학회 · 대한수학회보2004 · 제41권 제2호On $q$-analgue of the twisted $L$-functions and\ $q$-twisted Bernoulli\ numbersYilmaz Simsek대한수학회 · 대한수학회지2003 · 제40권 제6호INTERPOLATION FUNCTIONS OF THE EULERIAN TYPE POLYNOMIALS AND NUMBERSYilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호A note on the product of Frobenius-Euler ploynormials arising from the p-adic integral on Z_p최종성, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제2호Symmetry identities for the twisted generalized Euler polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제2호The p-adic generalized twisted (h,q) -Euler-l-function and its applicationsM. Cenkci장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제1호
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