THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS

Title & Authors
THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS
Jang, Lee-Chae;

Abstract
q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([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 {\varsigma}E,q,\varepsilon(s)
Keywords
p-adic q-integral;q-Euler number and polynomials;q-Euler zeta functions;Lerch type q-Euler zeta functions;
Language
English
Cited by
1.
A NOTE ON THE TWISTED LERCH TYPE EULER ZETA FUNCTIONS,;;

대한수학회보, 2013. vol.50. 2, pp.659-665
2.
A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order,;;;

Kyungpook mathematical journal, 2014. vol.54. 1, pp.131-141
1.
A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order, Kyungpook mathematical journal, 2014, 54, 1, 131
2.
A NOTE ON THE TWISTED LERCH TYPE EULER ZETA FUNCTIONS, Bulletin of the Korean Mathematical Society, 2013, 50, 2, 659
3.
On the Dirichlet’s type of Eulerian polynomials, Mathematical Sciences, 2014, 8, 2
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