On the order of convexity and starlikeness of a special class of analytic and meromorphic functions
โ Scribed by Dorothy Browne Shaffer
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 304 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
In this paper the classes of uniformly convex and uniformly starlike functions are ลฝ presented as dual sets for certain function families in the sense of convolution . theory . The results are used to find some sharp sufficient conditions for functions, regular in the unit disk, to belong to the abo
## Abstract Let __f__(__z__) = __z__ + __a__~2~__z__^2^ + โฆ be an analytic function in the unit disk ๐ฐ = {__z__ : |__z__| < 1}. Such a function belongs to the class __G__~__b__~ defined by Silverman if the quotient of the analytic representations of convexity and starlikeness of the function maps t