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Zbl 1022.30014
Liu, Jin-Lin
A linear operator and strongly starlike functions.
(English)
[J] J. Math. Soc. Japan 54, No.4, 975-981 (2002). ISSN 0025-5645; ISSN 1881-1167; ISSN 1881-2333/e

Summary: Making use of an integral operator $I^\alpha$ which was defined and studied earlier by Srivastava et al., the author introduces two new families of strongly starlike functions $ST_\alpha (\beta, \gamma)$ and $CV_\alpha(\beta, \gamma)$. Certain properties of these classes are discussed.
MSC 2000:
*30C45 Special classes of univalent and multivalent functions
30C75 Extremal problems for (quasi-)conformal mappings, other methods

Keywords: strongly starlike function; strongly convex function; integral operator

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