Diverse properties of (p, q)-Cosine and (p, q)-Sine Fubini-type polynomials and numbers

Haitham Qawaqneh; Waseem Ahmad  Khan; Mohammad  Shahzad

doi:10.5269/bspm.80205

Diverse properties of (p, q)-Cosine and (p, q)-Sine Fubini-type polynomials and numbers

Authors

Haitham Qawaqneh Al-Zaytoonah University
Waseem Ahmad Khan Department of Electrical Engineering, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952,
Mohammad Shahzad Department of Mathematics, Chandigarh University, Mohali-140413, Punjab, India.

DOI:

https://doi.org/10.5269/bspm.80205

Abstract

In this work, the (p, q)-Sine and (p, q)-Cosine Fubini-type polynomials are introduced and multifarious
summation formulae and relationships for these polynomials are derived by utilizing some series
manipulation methods. Also, (p, q)-derivative operator rules and (p, q)-integral representations for the
(p, q)-Sine and (p, q)-Cosine Fubini-type polynomials are given. Moreover, several correlations related to
the both (p, q)-Bernoulli, Euler and Genocchi polynomials and the (p, q)-Stirling numbers of the second
kind are developed.