- 期刊
RADIUS PROBLEMS FOR A SUBCLASS OF CLOSE-TO-CONVEX UNIVALENT FUNCTIONS
摘要
Let P[A,B],-1 _B ＜A ＜_ 1, be the class of functions p such that p(z) is subordinate to 1+ Az/1+Bz A function f, analytic in the unit disk E is said to belong to the class K*β[A,B] if, and only if, there exists a function g with zg'(z)/g(z) ∈ P[A,B] such that Re (zf'(z))'/g'(z) ＞β, 0 ≤β＜ 1 and z ∈ E. The functions in this class are close-to-convex and hence univalent. We study its relationship with some of the other subclasses of univalent functions. Some radius problems are also solved.
延伸閱讀
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