id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5022	AlRawashdeh, Waleed	A family of Analytic Functions Subordinate to Horadam Polynomials	2024	13	.pdf	application/pdf	4254	306	79	Then for bx > 0 and for some ζ ∈ R, |a3 − ζa22| ≤ { bx 2B , if ζ ∈ [ζ1, ζ2] |2(pbx2+qa)BA2(γ+1)2−b2x2(K(γ+1)2+4ζB)| 4BA2(γ+1)2 , if ζ /∈ Solving for ζ we get: (γ + 1)2(2A2(pbx2 − bx+ qa)− b2x2K) 4Bb2x2 ≤ ζ ≤ (γ + 1)2(2A2(pbx2 + bx+ qa)− b2x2K) 4Bb2x2 Hence, inequality (17) becomes |a3 − ζa22| ≤  bx 2B , if ζ ∈ [ζ1, ζ2]∣∣∣∣pbx2+qa 2B − b2x2K 4BA2 − ζ ( bx A(γ+1) )2 ∣∣∣∣ , if ζ /∈	cache/ejpam-5022.pdf	txt/ejpam-5022.txt