On (p, q)-Sine and (p, q)-Cosine Fubini Polynomials

Abstract

In recent years, (p, q)-special polynomials, such as (p, q)-Euler, (p, q)-Genocchi, (p, q)-Bernoulli, and (p, q)-Frobenius-Euler, have been studied and investigated by many mathematicians, as well physicists. It is important that any polynomial have explicit formulas, symmetric identities, summation formulas, and relations with other polynomials. In this work, the (p, q)-sine and (p, q)-cosine Fubini polynomials are introduced and multifarious abovementioned properties for these polynomials are derived by utilizing some series manipulation methods. (p, q)-derivative operator rules and (p, q)-integral representations for the (p, q)-sine and (p, q)-cosine Fubini polynomials are also given. Moreover, several correlations related to both the (p, q)-Bernoulli, Euler, and Genocchi polynomials and the (p, q)-Stirling numbers of the second kind are developed.