"In this paper, we introduce new class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$ of $m$-fold symmetric bi-univalent functions. Furthermore, use the Faber polynomial expansions to find upper bounds for general coefficients $|a_{mk+1}|(k \geqq 2)$ functions in $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$. Moreover, obtain estimates initial $|a_{m+1}| $ and $|a_{2m+1}|$ class. The results presented paper w...

In the present paper, we investigate two new subclasses 〖AR〗_(Σ_m ) (δ,λ;α) and (δ,λ;β) of Σ_m consisting m-fold symmetric holomorphic bi-univalent functions in open unit disk Δ. For from classes described here, obtain estimates on initial bounds |d_(m+1) | |d_(2m+1) |. addition, get special cases for our results.

The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the operator are highlighted explained this research. We then build a novel subclass analytic bi-univalent functions using certain q-Chebyshev polynomials. A number coefficient bounds, as well Fekete–Szegö inequalities second Hankel determinant provided for these newly specified fu...

In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in symmetry domain U defined by use Gegenbauer polynomials. We derive estimates for Fekete–Szegö functional problems Taylor–Maclaurin coefficients a2 a3 that belong to each these subclasses function classes. Some more results are revealed after concentrating on parameters employed our main...

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.

In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Hohlov operator, that is, a familiar special case of the widely(and extensively-) investigated Dziok-Srivastava linear operator. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for function...

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.