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...

One of the most important problems in study geometric function theory is knowing how to obtain sharp bounds coefficients that appear Taylor–Maclaurin series univalent functions. In present investigation, our aim calculate some estimates involving for family convex functions with respect symmetric points and associated a hyperbolic tangent function. These include first four initial coefficients,...

Abstract In this paper we introduce a new family Ā(α, β, γ) of harmonic univalent functions with negative coefficients using fractional calculus operator Ωλwhich contains various well known classes of harmonic univalent functions as well as many new ones. We obtain coefficient estimate, distortion theorem and various other properties for functions belonging to the class Ā(α, β, γ) in the unit d...

Let q1 and q2 belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions p to satisfy the double subordination chain q1(z)≺ p(z)≺ q2(z). The differential sandwich-type result obtained is applied to normalized univalent functions and to Φ-like functions.

In the current work, we introduce a special family of function analytic and m-fold symmetric bi-univalent functions obtain estimates Taylor–Maclaurin coefficients |dm+1| |d2m+1| for in family. For ? real number, Fekete–Szegö functional |d2m+1??dm+12| is also estimated. We indicate several cases defined connections to existing results are discussed.

Some well-known authors have extensively used orthogonal polynomials in the framework of geometric function theory. We are motivated by previous research that has been conducted and, this study, we solve Fekete–Szegö problem as well give bound estimates for coefficients and an upper estimate second Hankel determinant functions class G?(v,?) analytical bi-univalent functions, implicating Euler p...