Kodai Mathematical Journal
- Kodai Math. J.
- Volume 34, Number 2 (2011), 169-178.
A class of univalent functions defined by a differential inequality
Let be the class of analytic functions in the unit disk D with the normalization f(0) = f′(0) − 1 = 0. For λ > 0, denote by (λ) the class of functions f which satisfy the condition
We show that functions in (1) are univalent in D and we present one parameter family of functions in (1) that are also starlike in D. In addition to certain inclusion results, we also present characterization formula, necessary and sufficient coefficient conditions for functions in (λ), and a radius property of (1).
Kodai Math. J., Volume 34, Number 2 (2011), 169-178.
First available in Project Euclid: 5 July 2011
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Obradović, Milutin; Ponnusamy, Saminathan. A class of univalent functions defined by a differential inequality. Kodai Math. J. 34 (2011), no. 2, 169--178. doi:10.2996/kmj/1309829544. https://projecteuclid.org/euclid.kmj/1309829544