A Note on the Class of Functions with Bounded Turning
Keyword(s):
We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing Jack's lemma, we obtain a convex class in the class of functions of bounded turning and relations with other classes are posed.
2002 ◽
Vol 31
(9)
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pp. 567-575
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2011 ◽
Vol 2011
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pp. 1-12
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2020 ◽
Vol 23
(2)
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pp. 201-210
2019 ◽
Vol 100
(3)
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pp. 458-469
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2006 ◽
Vol 2006
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pp. 1-8
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Keyword(s):
2019 ◽
Vol 13
(02)
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pp. 113-118