  In this article, the 2-iterated q-Appell family is introduced. Certain
2-iterated q-Appell and mixed type q-special polynomials are considered as
members of this family. The numbers related to these polynomials are obtained.
The determinant definitions for the 2-iterated q-Appell family and for the
2-iterated and mixed type q-Appell polynomials are established. The graphs of
some 2-iterated q-Appell and mixed type q-Appell polynomials are drawn for
different values of indices and the roots of these polynomials are also
investigated for certain values of index n by using Matlab. Finally, the
approximate solutions of the real zeros of these polynomials are given.
