Summary: | The intended objective of this study is to define and investigate a new class of <i>q</i>-generalized tangent-based Appell polynomials by combining the families of 2-variable <i>q</i>-generalized tangent polynomials and <i>q</i>-Appell polynomials. The investigation includes derivations of generating functions, series definitions, and several important properties and identities of the hybrid <i>q</i>-special polynomials. Further, the analogous study for the members of this <i>q</i>-hybrid family are illustrated. The graphical representation of its members is shown, and the distributions of zeros are displayed.
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