Geodesic
An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\)
Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 67 (2013) no. 2 
Ularu, Nicoleta; Breaz, Nicoleta. An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\). Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 67 (2013) no. 2. http://geodesic.mathdoc.fr/item/AUM_2013_67_2_a0/
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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 α and from the class 𝒞𝒱ℋ(β) and also we estimate the first two coefficients for functions obtained by this operator applied on the class 𝒞𝒱ℋ(β).

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[2] Breaz, N., Breaz, D., Acu, M., Some properties for an integral operator on the \(\mathcal{CVH}(\beta)\)-class , IJOPCA 2 (1) (2010), 53–58.

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