Abstract
In the current work, special subfamilies of holomorphic bi-univalent functions based on quasi-subordination are introduced. Initial coefficient estimates for functions belonging to these subfamilies are established. Several consequences of our results and connections to known families are indicated.
Highlights
A member s of A is bi-univalent in D if both s and s−1 are univalent in D
Let A be the set of normalized holomorphic functions that have the form s(z) = z + dkzk, k =2 (1.1)
We symbolize the set of bi-univalent functions of the form (1.1), by
Summary
A member s of A is bi-univalent in D if both s and s−1 are univalent in D. Let A be the set of normalized holomorphic functions that have the form s(z) = z + dkzk, k =2 (1.1) Keywords and phrases: quasi-subordination, holomorphic function, coefficient estimates, bi-univalent function. We symbolize the set of bi-univalent functions of the form (1.1), by .
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