Uniformly convex functions and a corresponding class of starlike functions
✍ Scribed by Rønning, Frode
- Book ID
- 125498252
- Publisher
- American Mathematical Society
- Year
- 1993
- Tongue
- English
- Weight
- 620 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0002-9939
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📜 SIMILAR VOLUMES
In this paper the classes of uniformly convex and uniformly starlike functions are Ž 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
Let A be the class of analytic functions in the open unit disk U. Given 0 ~ A < 1, let ~x be the operator defined on ,4 by where D~I is the fractional derivative of f of order A. A function f in ,4 is said to be in the class SPx if ~Af is a parabolic starlike function. In this paper, several basic