id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-2210	Thirucheran M	A New Subclass of Univalent Functions Defined by Raducanu-Orhan Linear Differential Operator	2024	11	.pdf	application/pdf	4440	271	73	Therefore, | 𝐹(𝜁) − 1 𝐹(𝜁) + 1 | = | 𝑅𝜌,µ 𝑚 𝑓(𝜁) − (1 + 𝛾𝑏)𝑅𝜌,µ 𝑛 𝑓(𝜁) − 𝑏𝜏|𝑅𝜌,µ 𝑚 𝑓(𝜁) − 𝑅𝜌,µ 𝑛 𝑓(𝜁)| 𝑅𝜌,µ 𝑚 𝑓(𝜁) − (1 + (𝛾 − 2)𝑏)𝑅𝜌,µ 𝑛 𝑓(𝜁) − 𝑏𝜏|𝑅𝜌,µ 𝑚 𝑓(𝜁) − 𝑅𝜌,µ 𝑛 𝑓(𝜁)| | < 1. ⟹ ∑ { |(1 + (𝑙 − 1)(𝑙𝜌µ + 𝜌 − µ))𝑚 − (1 + 𝛾𝑏)(1 + (𝑙 − 1)(𝑙𝜌µ + 𝜌 − µ))𝑛| +(1 + (𝑙 − 1)(𝑙𝜌µ + 𝜌 − µ))𝑚 + ((2 − 𝛾)𝑏 − 1)(1 + (𝑙 − 1)(𝑙𝜌µ + 𝜌 − µ))𝑛 +2𝑏𝜏|(1 + (𝑙 − 1)(𝑙𝜌µ + 𝜌 − µ))𝑚 − (1 + (𝑙 − 1)(𝑙𝜌µ + 𝜌 − µ))𝑛| } ∞ 𝑙=2 |𝑎𝑙| ≤ 2(1 − 𝛾)|𝑏|. In this study, the Raducanu-Orhan differential operator defines the new subclass of univalent functions.	cache/cana-2210.pdf	txt/cana-2210.txt