Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials

Abstract

The main purpose of this paper is to consider q-sine-based and q-cosine-Based q-Fubini polynomials and is to investigate diverse properties of these polynomials. Furthermore, multifarious correlations including q-analogues of the Genocchi, Euler and Bernoulli polynomials, and the q-Stirling numbers of the second kind are derived. Moreover, some approximate zeros of the q-sinebased and q-cosine-Based q-Fubini polynomials in a complex plane are examined, and lastly, these zeros are shown using figures.

Keywords

• <i>q</i>-special polynomials
• <i>q</i>-trigonometric polynomials
• <i>q</i>-Fubini polynomials
• <i>q</i>-Stirling numbers of the second kind