id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5407	Al-Hawary, Tariq ; Massa’deh, Mourad Oqla ; Fallatah, Ahlam omar	Some Inclusion Properties for Hohlov Operator to be in Comprehensive Subfamilies of Analytic functions	2024	13	.pdf	application/pdf	4379	312	85	∞∑ τ=2 (τ − 1) (|ℶ1|)τ−1 (|ℶ2|)τ−1 (ℶ3)τ−1 (1)τ−1 (Υ1)τ−1 (1)τ−1 +(κ2 − κ3(κ1 + κ2) + 1) ∞∑ τ=2 (|ℶ1|)τ−1 (|ℶ2|)τ−1 (ℶ3)τ−1 (1)τ−1 (Υ1)τ−1 (1)τ−1 ≤ (κ2 + 1) |ℶ1ℶ2| (|ℶ1|+ 1) (|ℶ2|+ 1) (Υ1 + 1)Υ1 ℶ3(ℶ3+1)(2)1 ∞∑ τ=3 (|ℶ1|+ 2)τ−3 (|ℶ2|+ 2)τ−3 (Υ1 + 2)τ−3 (ℶ3 + 2)τ−3 (1)τ−3(3)τ−3 (3(κ2 + 1)− κ3(κ1 + κ2)) |ℶ1ℶ2|Υ1 ℶ3(1)1 ∞∑ τ=2 (|ℶ1|+ 1)τ−2 (|ℶ2|+ 1)τ−2 (Υ1 + 1)τ−2 (ℶ3 + 1)τ−2 (1)τ−2(2)τ−2 +(κ2 − κ3(κ1 + κ2) + 1) ∞∑ τ=2 (|ℶ1|)τ−1 (|ℶ2|)τ−1 (Υ1)τ−1 (ℶ3)τ−1 (1)τ−1(1)τ−1 . Main Results This section will provide sufficient conditions for Hohlov operator function to be in the subfamilies Cκ3(κ1, κ2) and S∗κ3(κ1, κ2).	cache/ejpam-5407.pdf	txt/ejpam-5407.txt