%0 Journal Article
%T The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Luo, Qiuhong
%A Wang, Xiantao
%D 2012
%\ 09/15/2012
%V 38
%N 3
%P 581-596
%! The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
%K $p$-harmonic mapping
%K univalence
%K starlikeness
%K Convexity
%K extreme point
%R
%X The main aim of this paper is to introduce three classes $H^0_{p,q}$, $H^1_{p,q}$ and $TH^*_p$ of $p$-harmonic mappings and discuss the properties of mappings in these classes. First, we discuss the starlikeness and convexity of mappings in $H^0_{p,q}$ and $H^1_{p,q}$. Then establish the covering theorem for mappings in $H^1_{p,q}$. Finally, we determine the extreme points of the class $TH^*_{p}$.
%U http://bims.iranjournals.ir/article_224_ef60efaae2872ad5d035ebe7683c92ed.pdf