ON SUBCLASSES OF UNIFORMLY CONVEX FUNCTIONS AND CORRESPONDING CLASS OF STARLIKE FUNCTIONS
Keyword(s):
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.
2021 ◽
Vol 39
(1)
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pp. 133-146
2014 ◽
Vol 03
(06)
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1993 ◽
Vol 118
(1)
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pp. 189-189
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2010 ◽
Vol 2010
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pp. 1-12
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1993 ◽
Vol 118
(1)
◽
pp. 189
◽
2021 ◽
Vol 1818
(1)
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pp. 012015
Keyword(s):