Salagean类单叶调和函数的特征

The Characteristic of Salagean-Type Univalent Harmonic Functions

研究由Salagean定义的函数族SH(m,n;α)及其子族-SH(m,n;α),得到SH(m,n;α)类的子族SHK(m,n;α)具有拟共形映照的性质.同时,研究-SH(m,n;α)函数类的凸像性质.对Salagena函数类的偏差定理、拟共形性质及凸像区域性质做进一步的研究,改进Yalcin得到的一些结果.

In this paper, we mainly investigate the classes SH （m, n;α） and ^-SH （m, n ;α） defined by Salagean. It is proved that functions belonging to SHK （m,n ;α） , which is a subclass of SH （m,n;α）, are quasiconformal mappings. Meanwhile, we obtain the convex characteristic of the class ^-SH （m ,n;α）. Our results improve some results of Yalcin＇s.