We introduce and examine two new subclass of bi-univalent function Σ, defined in the open unit disk, based on Sălăgean-type q-difference operators which are subordinate to involution numbers. find initial estimates Taylor–Maclaurin coefficients |a2| |a3| for functions introduced here. also obtain a Fekete–Szegö inequality class. Several consequences our results pointed out, not yet discussed as...

We defined two new subclasses of analytic bi-univalent function class Σ, in the open unit disk related with Sălăgean–Erdély–Kober operator. The bounds on initial coefficients |a2|,|a3| and |a4| for functions these Σ are investigated. Using estimates a2,a3, we also discuss Fekete-Szegö inequality results classes this paper. Relevant connections results, presented here as corollaries, not studied...

By using the generalization of neutrosophic q-Poisson distribution series, we introduce a new subclass analytic and bi-univalent functions defined in open unit disk. We then apply q-Gegenbauer polynomials to investigate estimates for Taylor coefficients Fekete–Szegö type inequalities belonging this subclass. In addition, consider several corollaries consequences results presented paper. The is ...

In this paper we consider two functionals of the Fekete–Szegö type: Φ f (μ)=a 2 a 4 -μa 3 and Θ for analytic functions f(z)=z+a z +a +..., z∈Δ, (Δ={z∈ℂ:|z|<1}) real numbers μ. For which is univalent convex in direction imaginary axis, find sharp bounds (μ) (μ). It possible to transfer results onto class

In current manuscript, using Laguerre polynomials and (p−q)-Wanas operator, we identify upper bounds a2 a3 which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions classes W∑(η,δ,λ,σ,θ,α,β,p,q;h) K∑(ξ,ρ,σ,θ,α,β,p,q;h) cover the convex starlike functions. Also, discuss Fekete-Szegö type inequality defined class.

In our present study, two subclasses of starlike functions which are symmetric about the origin considered. These classes defined with use sigmoid function and trigonometric function, respectively. We estimate first four initial logarithmic coefficients, Zalcman functional, Fekete–Szegö bounds second-order Hankel determinants coefficients for class Sseg* improve obtained existing determinant se...

The object of this article is to explore a ?-pseudo-?-convex ?-fold symmetric bi-univalent function family satisfying subordinations condition generalizing certain previously examined families. We originate the initial Taylor–Maclaurin coefficient estimates functions in defined family. classical Fekete–Szegö inequalities for also estimated. Furthermore, we present some special cases main result...