ON SUBCLASSES OF UNIFORMLY CONVEX FUNCTIONS AND CORRESPONDING CLASS OF STARLIKE FUNCTIONS
Copyright policy )ON SUBCLASSES OF UNIFORMLY CONVEX FUNCTIONS AND CORRESPONDING CLASS OF STARLIKE FUNCTIONS
We determine a sufficient condition for a function $f(z)$ to be uniformly convex of order et that is also necessary when $f(z)$ has negative coefficients. This enables us to express these classes of functions in terms of convex functions of particular order. Similar results for corresponding classes of starlike functions are also obtained. The convolution condition for the above two classes are discussed.
- University of Madras India
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convolution, uniformly convex functions, distortion theorems
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convolution, uniformly convex functions, distortion theorems
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