An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\)

Nicoleta Ularu, Nicoleta Breaz

Abstract


The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order \(\alpha\) and from the class \(\mathcal{CVH}(\beta)\) and also we estimate the first two coefficients for functions obtained by this operator applied on the class \(\mathcal{CVH}(\beta)\).

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References


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Ularu, N., Convexity properties for an integral operator, Acta Univ. Apulensis Math. Inform. 27 (2011), 115–120.




DOI: http://dx.doi.org/10.17951/a.2013.67.2.53-58
Data publikacji: 2015-07-15 00:00:00
Data złożenia artykułu: 2016-01-12 12:52:40

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