Strongly gamma-starlike functions of order alpha

Mamoru Nunokawa, Janusz Sokół

Abstract


In this work we consider the class of analytic functions \(\mathcal{G}(\alpha,\gamma)\), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 28 (1974), 53–58. We discuss the order of strongly starlikeness and the order of strongly convexity in this subclass.

Keywords


Strongly starlike functions of order alpha; convex functions of order alpha; strongly starlike functions of order alpha; gamma-starlike functions; Nunokawa's Lemma.

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References


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DOI: http://dx.doi.org/10.2478/v10062-012-0029-6
Date of publication: 2015-07-15 00:00:00
Date of submission: 2016-01-12 09:59:21


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