Bulletin of the
Korean Mathematical Society BKMS

$q$-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 $$ \zeta_{E,q,\varepsilon}(s)=[2]_q \sum_{n=0}^\infty \frac{(-1)^n \varepsilon^n q^{sn}}{[n]_q}$$ where $0

Keywords: $p$-adic $q$-integral, $q$-Euler number and polynomials, $q$-Euler zeta functions, Lerch type $q$-Euler zeta functions

MSC numbers: 11B68, 11S80