In the present paper, we aimed to discuss certain coefficient-related problems for inverse functions associated with a bounded turning class subordinated exponential function. We calculated bounds of some initial coefficients, Fekete–Szegö-type inequality, and estimation Hankel determinants second third order. All these were proven be sharp.

A class of p-valent analytic functions is introduced using the q-difference operator and familiar Janowski functions. Several properties in class, such as Fekete–Szegö inequality, coefficient estimates, necessary sufficient conditions, distortion growth theorems, radii convexity starlikeness, closure theorems partial sums, are discussed this paper.

In this paper, we investigate the coefficient bound estimates, second Hankel determinant, and Fekete-Szegö inequality for analytic bi-univalent function class, which call Mocanu type bi-starlike functions, related to a shell-shaped region in open unit disk complex plane. Some interesting special cases of results are also discussed.

By making use of $q$-derivative and $q$-integral operators, we define a class analytic bi-univalent functions in the unit disk $|z|<1$. Subsequently, investigate some properties such as early coefficient estimates then obtain Fekete-Szeg\"o inequality for both real complex parameters. Further, interesting corollaries are discussed.

Szegos inequality concerning the second eigenvalue of a homogeneous, free membrane is extended to the case of an inhomogeneous free membrane. With the help of a variational principle and the conformal mapping technic upper bounds are constructed for the sum VjU2 + V j ^ > where ^ and ^ denote the second and third eigenvalue. These bounds only depend on the total mass of the domain and on a simp...

In the present article, using subordination principle, authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect symmetric and conjugate points. particular, bi-univalent conditions for function f(z) belonging these their relevant connections famous Fekete-Szegö inequality |a3−va22| were investigated a succinct mathematical approach.

Motivated by q-calculus, we define a new family of Σ, which is the bi-univalent analytic functions in open unit disc U that related to Einstein function E(z). We establish estimates for first two Taylor–Maclaurin coefficients |a2|, |a3|, and Fekete–Szegö inequality a3−μa22 belong these families.

In the present paper, a subclass of analytic and biunivalent functions by means Gegenbauer polynomials is introduced. Certain coefficients bound for belonging to this are obtained. Furthermore, Fekete-Szegö problem solved. A number known or new results shown follow upon specializing parameters involved in our main results.

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...