Project supported by National Natural Science Foundation of China(10971063,11061015);Major Program of Zhejiang Provincial Natural Science Foundation of China(D7080080);Guangdong Natural Science Foundation(06301315)
In this article, first, a sufficient condition for a starlike mapping of order a f(x) defined on the unit ball in a complex Banach space is given. Second, the sharp estimate of the third homogeneous expansion for f ...
Supported by the National Natural Science Foundation of China(10626015, 10571044); Supported by Guangdong Natural Science Foundation(06301315); Supported by the doctoral foundation of Zhanjiang Normal University(Z0420)
Suppose f is a spirallike function of type β and order α on the unit disk D.Let Ωn,p1,p2,…,pn={z=(z2,z2,…,zn)′∈C^n:∑j=1^n|zj)^Pj〈1},where 1≤p1≤2,pj≥1,j=2,…,n,are real numbers.In this paper,we will pr...
The research was supported by the National Nat ural Science Foundation of China(10571164);Specialized Research Fund for the Doctoral Program of Higher Education(20050358052);Guangdong Natural Science Foundation(06301315);the Doctoral Foundation of Zhanjiang Normal University(Z0420)
In this article, a normalized biholomorphic mapping f defined on bounded starlike circular domain in Cn is considered, where z = 0 is a zero of order k + 1 of f(z) - z. The sharp growth, covering theorems for almos...
Supported by the National Natural Science Foundation of China(10626015,10571044);Supported by the Guangdong Natural Science Foundation(06301315);Supported by the Doctoral Foundation of Zhanjiang Normal University(Z0420);Supported by the Natural Science Foundation of Henan University(XK03YBSX200)
Suppose f is an almost starlike function of order α on the unit disk D. In this paper, we will prove that Фn,β2,γ2,…βn,γn(f)(z)=(f(z1),(f(z1)/z1)^β2(f'(z1))^γ2 z2,…,(f(z1)/z1)^βn(f'(z...