id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-488	Aouf, M.K.; Shamandy, A.; El-Ashwah, R. M.; Ali, E. E.	Argument Estimates of Certain Analytic Functions Associated with a Family of Multiplier Transformations	2010	14	.pdf	application/pdf	4587	264	86	f ∈ A satisfying the argument inequality � � � � � � � � � arg       z(Im(λ,ℓ) f (z)) ′ � 1 q � q ∑ j=1 Im(λ,ℓ)g j(z)       � � � � � � � � � < π 2 α (6) (z ∈ U , m ∈ N0, 0< α≤ 1; g j ∈ Ωm,λ,ℓ(q; A, B); j = 1, ...,q) . If − π 2 δ1 < arg       z(Im+1(λ,ℓ) f (z)) ′ � 1 q � q ∑ j=1 Im+1(λ,ℓ)g j(z)       < π 2 δ2 , where g1, ..., gq ∈ Ωm+1,λ,ℓ(q; A, B), then − π 2 α1 < arg       z(Im(λ,ℓ) f (z)) ′ � 1 q � q ∑ j=1 Im(λ,ℓ)g j(z)       < π 2 α2 , where α1 and α2 (0< α1, α2 ≤ 1) are the solutions of the following equations: δ1 =    α1 + � 2 π � tan−1 � (α1+α2)(1−|a|) cos � π 2 � t1 2 � 1+A 1+B + 1−λ+ℓ λ � (1+|a|)+(α1+α2)(1−|a|) sin � π 2 � t1 � (B 6= −1) , α1 (B = −1) , (16) M. Aouf, A. Shamandy, R. El-Ashway, E. Ali / Eur.	cache/ejpam-488.pdf	txt/ejpam-488.txt