- Research Article
- Open Access
Sufficient Conditions for Subordination of Multivalent Functions
© Öznur Özkan Kılıç. 2008
- Received: 13 January 2008
- Accepted: 28 March 2008
- Published: 21 April 2008
The authors investigate various subordination results for some subclasses of analytic functions in the unit disc. We obtain some sufficient conditions for multivalent close-to-starlikeness.
- Real Number
- Analytic Function
- Unit Disc
- Multivalent Function
- Schwarz Function
In proving our main results, we need the following lemma due to Miller and Mocanu.
Lemma 2.1 (see [3, page 132]).
and suppose that either
In addition, assume that
Thus, using Lemma 2.1 and (2.7), we can obtain the result (2.8).
Thus, using (2.15) and Lemma 2.4, we can obtain the result (2.16).
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