The (p,q)-sine and (p,q)-cosine polynomials and their associated (p,q)-polynomials

The introduction of two-parameter (p,q){(p,q)}-calculus and Lie algebras in 1991 has spurred a wave of recent research into (p,q){(p,q)}-special polynomials, including (p,q){(p,q)}-Bernoulli, (p,q){(p,q)}-Euler, (p,q){(p,q)}-Genocchi and (p,q){(p,q)}-Frobenius–Euler polynomials. These investigations have been carried out by numerous researchers in order to uncover a wide range of identities associated with these polynomials and applications. In this article, we aim to introduce (p,q){(p,q)}-sine and (p,q){(p,q)}-cosine based λ-array type polynomials and derive numerous properties of these polynomials such as (p,q){(p,q)}-integral representations, (p,q){(p,q)}-partial derivative formulae and (p,q){(p,q)}-addition formulae. It is worth noting that the utilization of the (p,q){(p,q)}-polynomials introduced in this study, along with other (p,q){(p,q)}-polynomials, can lead to the derivation of various identities that differ from the ones presented here.