%0 Journal Article
%T On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition
%A Agnieszka Sibelska
%J Annales UMCS, Mathematica
%D 2010
%I 
%R 10.2478/v10062-010-0007-9
%X The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc ¦¤. 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. Z otkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A.  azi¨½ska 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 aforementioned classes.
%K Complex harmonic functions
%K analytic conditions
%K convexity of order ¦Â
%K starlikeness of order ¦Â
%U http://versita.metapress.com/content/773232030x304035/?p=b3f756df0be740eaa65748d254a71921&pi=6