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Starlikeness and convexity for analytic functions concerned with Jack's lemma

There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. The object of the present paper is to derive some interesting sufficient conditions for f(z) to be starlike of order α and convex of order α in U concerned with Jack's lemma. Some examples for our results are also considered with the help of Mathematica 5.2.

preprint2013arXivOpen access
Hitoshi ShiraishiShigeyoshi Owa
math.CV
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Hitoshi ShiraishiShigeyoshi Owa

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