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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.

About a class of analytic functions defined by Noor-Sǎlǎgean integral operator

Engel O., Chung Y. L.

Journal of Mathematics and Applications

2016

Vol. 39

59--67

In this paper we intoduce a new integral operator as the convolution of the Noor and Salagean integral operators. With this integral operator we define the class CNS(α), where α ϵ [0,1) and we study some properties of this class.