id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
american_scientific_journal-610	Al-Shutnawi, Basma; Zannon, Mohammad	Q is a Convergence Set	2015	4	.pdf	application/pdf	1158	80	74	[11] A. Sathaye, ''Convergence sets of divergent power series'', J. Reine Angew. In this paper we consider the convergence sets of formal power series of the form 𝑓(𝑧, 𝑡) = ∑ 𝑓𝑗(𝑧)𝑡𝑗∞ 𝑗=0 , where 𝑓𝑗(𝑧) are polynomials functions on a domain Ω in ℂ. A subset 𝐸 of Ω is said to be convergence set if there is a series 𝑓(𝑧, 𝑡) such that 𝐸 is exactly the set of points 𝑧 for which 𝑓(𝑧, 𝑡) converges as a power series in t in some neighborhood of the origin.	cache/american_scientific_journal-610.pdf	txt/american_scientific_journal-610.txt