A Numerical Computation of Zeros of <i>q</i>-Generalized Tangent-Appell Polynomials

Abstract

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

Keywords

• q-calculus
• q-generalized tangent polynomials and numbers
• q-appell polynomials and numbers
• generating function