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The aim of this paper is to define new generating functions. By applying theMellin transformation formula to these generating functions, we defineq-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zetafunction, q-analogue Genocchi type l-function and two-variable q-Genocchi typel-function. Furthermore, we construct new genereting functions ofq-Hardy-Berndt type sums and q-Hardy-Berndt type sums attached to Dirichletcharacter. We also give some new relations related to q-Hardy-Berndt type sumsand q-Genocchi zeta function as well.

q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions