A sufficient condition for univalence and starlikeness
نویسندگان
چکیده
منابع مشابه
Sufficient conditions for univalence and starlikeness
It is known that the condition $mathfrak {Re} left{zf'(z)/f(z)right}>0$, $|z|
متن کاملSome Sufficient Conditions for Univalence and Starlikeness
The object of the present paper is to derive certain sufficient conditions for univalence, p-valently starlikeness and p-valently close-to-convexity of analytic functions in the unit disk. Our results extend and improve some results due to Owa [3], Frasin and Darus [2] and Chen [1].
متن کاملsufficient conditions for univalence and starlikeness
it is known that the condition $mathfrak {re} left{zf'(z)/f(z)right}>0$, $|z|
متن کاملA Sufficient Condition for Starlikeness of Order Α
We obtain a sufficient condition for starlikeness of orderα, |f ′(z)−λ(f(z)/z)+ λ−1|<M =Mn(λ,α), where λ∈ [0,1], α∈ [0,1) and the function f(z)= z+an+1zn+1+ ··· is analytic in the unit disc U . 2000 Mathematics Subject Classification. 30C45.
متن کاملSufficient Conditions for Janowski Starlikeness
Let A,B,D,E ∈ [−1,1] and let p(z) be an analytic function defined on the open unit disk, p(0) = 1. Conditions on A, B, D, and E are determined so that 1 + βzp′(z) being subordinated to (1+Dz)/(1+Ez) implies that p(z) is subordinated to (1+Az)/(1+Bz). Similar results are obtained by considering the expressions 1 + β(zp′(z)/p(z)) and 1 + β(zp′(z)/p2(z)). These results are then applied to obtain s...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1989
ISSN: 0386-2194
DOI: 10.3792/pjaa.65.163