ON SUBCLASSES OF UNIFORMLY CONVEX FUNCTIONS AND CORRESPONDING CLASS OF STARLIKE FUNCTIONS

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R. BHARATI
R. PARVATHAM
A. SWAMINATHAN

Abstract




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.




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How to Cite
BHARATI, R., PARVATHAM , R., & SWAMINATHAN, A. (1997). ON SUBCLASSES OF UNIFORMLY CONVEX FUNCTIONS AND CORRESPONDING CLASS OF STARLIKE FUNCTIONS. Tamkang Journal of Mathematics, 28(1), 17–32. https://doi.org/10.5556/j.tkjm.28.1997.4330
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References

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