Explicit properties of q-Cosine and q-Sine Fubini-type polynomials and numbers

Abstract

In recent years, q-special polynomials, such as q-Bernoulli, q-Genocchi, q-Euler and q-Frobenius-
Genocchi have been studied and investigated by many mathematicians, as well physicists. It is important
that any polynomials have explicit formulas, symmetric identities, summation formulas, and relations
with other polynomials. In this work, the q-Cosine and q-Sine Fubini type polynomials are introduced
and multifarious above mentioned properties for these polynomials are derived by utilizing some series
manipulation methods. Moreover, several correlations related to both the q-Bernoulli, Euler, and
Genocchi polynomials and the q-Stirling numbers of the second kind.