Applications of the q-Srivastava-Attiya Operator Involving a Certain Family of Bi-Univalent Functions Associated with the Horadam Polynomials

In this article, by making use of the q-Srivastava-Attiya operator, we introduce and investigate a new family SWΣ(δ,γ,λ,s,t,q,r) normalized holomorphic bi-univalent functions in open unit disk U, which are associated with Bazilevič λ-pseudo-starlike as well Horadam polynomials. We estimate second third coefficients Taylor-Maclaurin expansions belonging to function class, here. Furthermore, establish Fekete-Szegö inequality for SWΣ(δ,γ,λ,s,t,q,r). Relevant connections some special cases main results those several earlier works also pointed out. Our usage here basic or quantum (or q-) extension familiar Hurwitz-Lerch zeta Φ(z,s,a) is justified fact that members possess properties local non-local symmetries. study applications such extensions paper motivated symmetric nature calculus itself.