The aim of the present paper is to investigate coefficient estimates, Fekete-Szegő inequality, and upper bound of third Hankel determinant for some families of starlike and convex functions of reciprocal order.

The purpose of the present paper is to derive the Fekete-Szegö inequality for the class , ( ) s M    of normalized analytic functions ( ) f z defined on the open unit disk for which , , ( ( )) ' ( ) s s z f z f z       lies in a region starlike with respect to 1 and symmetric with respect to the real axis.

In the present paper, we consider a generalised subclass of analytic functions involving arithmetic, geometric and harmonic means. For this function class we obtain an inclusion result, Fekete-Szegö inequality and coefficient bounds for bi-univalent functions.

In this study, by making the use of q-analogous hyperbolic tangent function and a Sălăgean q-differential operator, new class q-starlike functions is introduced. The prime contribution study covers derivation sharp coefficient bounds in open unit disk U, especially first three bounds, Fekete–Szego type functional, upper second- third-order Hankel determinant for to class. We also Zalcman genera...

Coefficient bounds for some subclasses of p-valently starlike functions Abstract. For functions of the form f(z) = z+ ∑∞ n=1 ap+nz p+n we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete–Szegö-like inequality for classes of functions defined through extended fractiona...

The purpose of this article is to obtain the sharp estimates first four initial logarithmic coefficients for class BTs bounded turning functions associated with a petal-shaped domain. Further, we investigate estimate Fekete-Szegö inequality, Zalcman inequality on and Hankel determinant H2,1Ff/2 H2,2Ff/2 entry coefficients.