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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.

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