some sufficient conditions for univalence and ... - math.ubbcluj.ro

MATHEMATICA, Tome 50 (73), No 1, 2008, pp. 39–49

SOME SUFFICIENT CONDITIONS FOR UNIVALENCE AND SUBORDINATION RESULTS OF CERTAIN ANALYTIC AND UNIVALENT FUNCTIONS B.A. FRASIN, M. DARUS and S. SIREGAR

Abstract. Very recently, Frasin and Darus [2] introduced the class B(α) of analytic functions and gave some properties for this class. The aim of this paper is to obtain some sufficient conditions for univalence and subordination results for functions of the class B(α). MSC 2000. 30C45. Key words. Analytic functions, univalent functions, starlike functions and convex functions, subordination.

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Received June 16, 2005

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B.A. Frasin, M. Darus and S. Siregar

B.A. Frasin Al al-Bayt University Department of Mathematics Mafraq, Jordan E-mail: [email protected] M. Darus and S. Siregar School of Mathematical Sciences Faculty of Science and Technology University Kebangsaan Malaysia Bangi 43600, Malaysia E-mail: [email protected]

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