In this study the classical Fekete-Szego problem was investigated. Given f(z)=z+a 2 z 2 +a 3 z 3 +...  to be an analytic standartly normalized function in the open unit disk U={z ∈ C : |z|<1}. For |a 3 -μa 2 2 |, a sharp maximum value is provided through the classes of S * α,γ (β) order β and type α under the condition of μ≥1.

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On The Fekete-Szegö Problem for Generalized Class M α,γ(β) Defined By Differential Operator

Let A denote the c1 ass of functions f analytic in the open unit disc E {z E CI 1 ,1 < l} normalized by 1(0) = 1’(0) 1 = O. Then 1 E A has the expallsioll I (z) = z + ε:2 dk Z k . \\ îe defi l1e [n / (z) = Z + Lζ2 k nakzk fot 외 I integer values 。f n. We observe that r \" 1(,) = Z + L얻2 k’‘ dkZk = D\" f (z) where D is an operator defin ed by Sa.1 agoan. fn this paper we define some new cla.sses of functi ons using the djfferential operator ]\" and examine their properties

L. Nalinakshi

Papers

On Salagean- Pascu Type of Generalised Sakaguchi Class of Functions