Radius problem for the class of analytic functions based on Ruscheweyh derivative
Keywords:Analytic function, Univalent function, Ruscheweyh derivative, Cauchy-Schwarz inequality, Radius problema, Hölder inequality
AbstractLet ???? be the class of analytic functions f (z) with the normalized condition f(0) = f 0(0)?1 = 0 in the open unit disk U. Bymaking use of Ruscheweyh derivative operator, a new subclass ????(?1, ?2, ?3, ?4; ?) of f(z) ? ???? satisfying the inequality for some complex numbers ?1, ?2, ?3, ?4 and for some real ? > 0 is introduced. The object of the present paper is to obtain some properties of the function class ???? (?1, ?2, ?3, ?4; ?). Also the radius problems of satisfies the condition is considered.
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