The radius of starlikeness of certain analytic functions
β Scribed by Michael R. Ziegler
- Publisher
- Springer-Verlag
- Year
- 1971
- Tongue
- French
- Weight
- 148 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
We denote by A, the class of all analytic functions f in the unit disc β = {z β C : |z| < 1} with the normalization f (0) = f β² (0) -1 = 0. For a positive number Ξ» > 0, we denote by β A, such that a 3 -a 2 2 = 0, and satisfying the condition In this paper, we find conditions on Ξ», Ξ± and Ξ³ such tha
main object of the present paper is to derive several sufficient conditions for close-to-convexity, starlikeness, and convexity of certain (normalized) analytic functions. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
Let Q be the class of functions of the form f z s y1rz q c q c z q ΠΈΠΈΠΈ 0 1 < < which are meromorphic in the unit disk z -1 and satisfy there the condition Ε½ . Γ 4 Γ Ε½ .4 f z / 0 and α£ z ΠΈ α£ f z ) 0 for nonreal z. We determine the radius of starlikeness of order β£, yΟ± -β£ -1, and the maximal domain o