In the present paper, making use of Gegenbauer polynomials, we initiate and explore a new family J?(?,?,s,t,q;h) holomorphic bi-univalent functions which were defined in unit disk D associated with q-Srivastava–Attiya operator. We establish bounds for |a2| |a3|, where a2, a3 are initial Taylor–Maclaurin coefficients. For investigate Fekete-Szegö inequality, special cases consequences.

We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc this work. provide estimates for first two Taylor–Maclaurin series coefficients these functions. Furthermore, we define Salagean differential operator and discuss various applications our main findings using it. A few well-known corollaries are studied order to show connection between recent earlier

In this paper, we use the Faber polynomial expansion to obtain bounds for general coefficients a n of bi-univalent functions in family analytic open unit disk. Estimation bound value initial these classes is also established.

The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class bi-univalent functions defined by means Gegenbauer polynomials with series. For in each these function classes, have derived explored estimates Taylor coefficients a2 a3 Fekete-Szegö functional problems belonging to subclasses.