Published 2009-01-28
Keywords
- starlike function,
- convex function,
- univalency,
- regular function and Schwarzian derivative.
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How to Cite
The Schwarzian derivative and univalent functions theory. (2009). Scientia Series A: Mathematical Sciences, 18, 57-59. https://revistas.usm.cl/scientia/article/view/130
Abstract
Let \(f(z) = z + \sum_{n=2}^{\infty} a_n z^n\) be regular in the unit disk \(E = \{z : |z| < 1\}\). In this paper we establish a condition under which \(\text{Re}f(z)/z > 0\). We also apply our result to discuss the univalency of the function \(w = f(z)\).
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