A normalized analytic function f defined on the open unit disk is a Janowski starlike , where A and B are complex numbers satisfying the conditions |B| β€ 1 and A ΜΈ = B. In this paper, a new class of analytic functions defined by means of subordination is introduced. Sufficient conditions are obtain
On analytic continuation to a starlike function
β Scribed by Carl H. FitzGerald
- Publisher
- Springer
- Year
- 1969
- Tongue
- English
- Weight
- 204 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
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.
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
Appl. 201, 25α34 developed a method, using some operators, to deal with functions holomorphic and starlike with respect to symmetric conjugate points in the unit disc. Now the same method can be employed to functions meromorphic in the < < punctured disc 0z -1. Especially, a structural representatio