Geodesic
On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 54 (2010) no. 1.

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The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc Δ. In particular, many papers about some classes of complex mappings with the coefficient conditions have been published. Consideration of this type was undertaken in the period 1998–2004 by Y. Avci and E. Złotkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A. Łazinska and A. Sibelska [1], [8], [7], H. Silverman [12] and J. M. Jahangiri [6], among others. This work continues the investigations described in [7]. Our results relate primarily to the order of starlikeness and convexity of functions of the aforementionedclasses.
Keywords: Complex harmonic functions, analytic conditions, convexity of order \(\beta\), starlikeness of order \(\beta\) 
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Sibelska, Agnieszka. On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 54 (2010) no. 1. http://geodesic.mathdoc.fr/item/AUM_2010_54_1_a4/

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