The sharp version of a strongly starlikeness condition
نویسندگان
چکیده
منابع مشابه
On the Sharp Constant for Starlikeness
We obtain a sharp constant of the sufficient condition for p-valently starlikeness, which had been studied by Nunokawa (1991), Obradovíc and Owa (1989), and Li (1993). 2000 Mathematics Subject Classification. Primary 30C45.
متن کاملSome Sufficient Conditions for Strongly Starlikeness
We consider strongly starlikeness of order α of functions f(z)= z+an+1zn+1 +··· which are analytic in the unit disc and satisfy the condition of the form ∣∣∣∣f ′(z) ( z f(z) )1+μ −1 ∣∣∣∣< λ, 0< μ < 1, 0< λ< 1.
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 کاملRadius of Strongly Starlikeness for Certain Analytic Functions
For analytic functions f (z) = z p +a p+1 z p+1 +··· in the open unit disk U and a polynomial Q(z) of degree n > 0, the function F(z) = f (z)[Q(z)] β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z).
متن کاملSome Conditions for Strongly Starlikeness of Certain Analytic Functions
For analytic functions f(z) in the open unit disk U with f(0) = 0 and f ′(0) = 1, S. S. Miller, P. T. Mocanu and M. O. Reade (Proc. Amer. Math. Soc. 37(1973)) have introduced α-convex functions in U with some condition, and Z. Lewandowski, S. S. Miller and E. Zl /otkiewicz (Ann. Univ. Marie-Curie Skl /odowska 27(1974)) have discussed γ-starlike functions in U with some condition. The object of ...
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ژورنال
عنوان ژورنال: Acta Universitatis Sapientiae, Mathematica
سال: 2017
ISSN: 2066-7752
DOI: 10.1515/ausm-2017-0021