In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered. Sharp estimates the first four initial coefficients of this class are addressed. Furthermore, we obtain Fekete–Szegö inequality, sharp upper bounds second and third Hankel determinants, logarithmic coefficients, third-order determinants two...

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.

Objective: The objectives of the present study are to introduce some new subclasses analytic functions involving (p,q)-derivatives by using subordination. We derive Fekete-Szegö inequalities for belonging subclasses. Method: Using concept (p,q)-derivative a function and subordination principle between we Findings: problem may be considered as one most important results about univalent functions...

In this paper, we introduce a special family Mσm(τ,ν,η,φ) of the function σm m-fold symmetric bi-univalent functions defined in open unit disc D and obtain estimates first two Taylor–Maclaurin coefficients for family. Further, Fekete–Szegö functional is also estimated. The results presented paper not only generalize improve some recent works, but give new as cases.