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Extensions of coefficient estimates for new classes of bi-univalent functions defined by Sălăgean integro-differential operator

Páll-Szabó Ágnes Orsolya

Journal of Applied Analysis

2021

Vol. 27, nr 1

87--95

In this paper, we introduce and investigate three new general classes of bi-starlike and bi-convex functions of Ma-Minda type defined by the Sălăgean integro-differential operator. Bounds of the first three coefficients |a2|, |a3| and |a4| are given.

On the coefficient problem of meromorphic harmonic mappings

Widomski J.

Demonstratio Mathematica

2014

Vol. 47, nr 4

848--853

In this paper, we shall study estimates for the coefficients an, n = 1; 2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = {z : |z| > 1}, which keep infinity fixed. For this purpose, we apply Faber polynomials and an inequality of the Grunsky type.

Inclusion relationship and Fekete-Szegö like inequalities for a subclass of meromorphic functions

Răducanu D., Orhan H., Deniz E.

Journal of Mathematics and Applications

2011

Vol. 34

87--95

In this paper using a differential operator, we define a new subclass of meromorphic functions. Sharp upper bounds for the functional […] in this class are obtained. An inclusion property is also given.