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Zbl 1169.30308
Noor, Khalida Inayat; Mustafa, Saima
Some classes of analytic functions related with functions of bounded radius rotation with respect to symmetrical points. (English)
[J] J. Math. Inequal. 3, No. 2, Article ID 27, 267-276 (2009). ISSN 1846-579X

Summary: We introduce a class $R^s_k (\gamma)$ of analytic functions of bounded radius rotation with respect to symmetric points and study some of its basic properties. Using this concept, two other classes $T^s_k(\delta,\gamma)$, $K^s_k(\delta, \gamma)$ are also defined. We study coefficient results, arc-length and radius problems for these classes.

MSC 2000:: *30C45 Special classes of univalent and multivalent functions
30C50 Coefficient problems for univalent and multivalent functions

Keywords: starlike function; bounded radius rotation; symmetric points; coefficient problems

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Zentralblatt MATH Berlin [Germany]