id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-1174	Galib Atshan, Waggas; Habib Buti, Rafid	Fractional Calculus of a Class of Univalent Functions with Negative Coefficients Defined by Hadamard Product with Rafid -Operator	2011	12	.pdf	application/pdf	3099	167	89	z 0 f (t) (z− t)1−δ d t (δ > 0), (7) where f (z) is an analytic function in a simply - connected region of the z-plane containing the origin, and the multiplicity of (z − t)δ−1 is removed by requiring log(z − t) to be real, when (z − t) > 0. Then |D−δz f (z)| ≤ 1 Γ(2+ δ) |z|δ+1 � 1+ 2(1−α) (2+ δ)(1+λ)(2+ β −α)(θ + 1)b2 |z| � , (12) and |D−δz f (z)| ≥ 1 Γ(2+ δ) |z|δ+1 � 1− 2(1−α) (2+ δ)(1+λ)(2+ β −α)(θ + 1)b2 |z| � , (13) The inequalities in (12) and (13) are attained for the function given by f (z) = z − 1−α (1+λ)(2+ β −α)(θ + 1)b2 z2 (14) Proof.	cache/ejpam-1174.pdf	txt/ejpam-1174.txt