Certain results of 2-variable q -generalized tangent-Apostol-type polynomials

The present article aims to introduce and investigate a new class of \(q\)-hybrid special polynomials, namely 2-variable \(q\)-generalized tangent-Apostol-type polynomials. The generating function, series definition and many other useful relations and identities of this class are established. In addition, certain members of 2-variable \(q\)-generalized tangent-Apostol-type family are investigated and some properties of these members are obtained. The graphical representations of these members are shown for several values of indices with the help of Matlab. Further, the distributions of zeros of these members are displayed.