Radii of starlikeness and convexity for certain classes of analytic functions
โ Scribed by P.D. Tuan; V.V. Anh
- Book ID
- 107800523
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 514 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
Let z be an analytic function with positive real part on โฌ s z; z -1 with ลฝ . ลฝ . 0 s 1, ะ 0 ) 0 which maps the unit disk โฌ onto a region starlike with respect ลฝ . to 1 and symmetric with respect to the real axis. Let ST denote the class of ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . analytic functions f z with f 0 s
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.