In the present paper, sharp upper bounds of |a3 − μa2| for the functions f(z) = z+ a2z + a3z + ... belonging to a new subclass of Sakaguchi type functions are obtained. Also, application of our results for subclass of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szegö inequalities for certain classes of functions defined through fractiona...

For non-zero complex b, let N b m,n(φ) (m > n), m ∈ N, n ∈ N0 denote the class of normalized univalent functions f satisfying 1+ 1 b ( Df(z) Dnf(z) − 1 ) ≺ φ(z), z in the open unit disk U , where Dnf denotes the Sălăgean derivative of f . In this paper, we obtain sharp bounds for the Fekete-Szegö functional |a3 − μa2|.

* Correspondence: [email protected]. kr Department of Applied Mathematics, Pukyong National University, Busan 608-737, South Korea Full list of author information is available at the end of the article Abstract In the present investigation, certain subclasses of close-to-convex functions are investigated. In particular, we obtain an estimate for the Fekete-Szegö functional for functions belonging t...

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...

In this article, we establish the bounds for initial Taylor–Maclaurin coefficients |a2| and |a3| a new family G?(?,?,?;h) of holormorphic bi-univalent functions which involve prestarlike functions. Furthermore, investigate Fekete–Szegö type inequality, special cases consequences.

In this paper, we define certain families SE*(?) and CE(?) of holomorphic bi-univalent functions which are defined in the open unit disk U. We establish upper bounds for initial Taylor–Maclaurin coefficients Fekete–Szegö type inequalities these families.

Abstract The paper is devoted to the study of a family complex-valued holomorphic functions and mappings in $${\mathbb {C}}^{n}.$$ C n . More precisely, article concerns Bavrin’s defined on bounded complete n -circular domain $${\...