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q-Volkenborn integrals ([8]) and fermionic invariant q-integ-rals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25])studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C.
S. Ryoo ([7]) investigated twisted q-zeta functions and their applications.
In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by [수식] E;q;ε(s) = [2]q ∞Σn=0(-)nεnqsn [n]q where 0 < q < 1; R(s) > 1, ε∈ Tp, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.
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참고문헌 (28)
참고문헌 신청
[학술지(정기간행물)]
H. Ozden / 2007 / A note on p -adic q -Euler measure / Advanced Studies in Contemporary Mathematics 14 (2) : 233 ~ 240
H. Ozden / 2007 / Euler polynomials associated with p-adic q-Euler measure / Gen. Math. 15 (2) : 24 ~ 37
H. Ozden / 2008 / A new extension of q-Euler numbers and polynomials related to their interpolation functions / Appl. Math. Lett. 21 (9) : 934 ~ 939
H. Ozden / 2008 / Multivariate interpolation functions of higher-order q-Euler numbers and their applications / Abstr. Appl. Anal. 2008 : 16 ~
H. Ozden / 2007 / A note on p -adic q -Euler measure / Advanced Studies in Contemporary Mathematics 14 (2) : 233 ~ 240
H. Ozden / 2007 / Euler polynomials associated with p-adic q-Euler measure / Gen. Math. 15 (2) : 24 ~ 37
H. Ozden / 2008 / A new extension of q-Euler numbers and polynomials related to their interpolation functions / Appl. Math. Lett. 21 (9) : 934 ~ 939
H. Ozden / 2008 / Multivariate interpolation functions of higher-order q-Euler numbers and their applications / Abstr. Appl. Anal. 2008 : 16 ~
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