Remarks on combinatorial numbers containing special numbers and polynomials.

The most important aim of this paper is to study some special cases of the open problem for ordinary generating functions (OGFs) for the combinatorial Simsek numbers of the sixth kind given by Simsek in [12]. The other aim is to give some identities and relations, including these numbers and others, via these generating functions. Finally, we present some applications of some special values of these results. [ABSTRACT FROM AUTHOR]