Infinite Series and Products

Steven G. Krantz
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Steven G. Krantz: Washington University in St. Louis, Department of Mathematics

Chapter Chapter 8 in Handbook of Complex Variables, 1999, pp 103-115 from Springer

Abstract: Abstract Let $$U \subseteq \mathbb{C}$$ be an open set and g i : U → ℂ functions. Recall (§3.1.5) that the sequence {gj} is said to converge uniformly on compact subsets of U to a function g if the following condition holds: For each compact K ⊑ U (see §§3.1.5) and each ∈ > 0 there is an N > 0 such that if j > N,then |g(z) — g j (z)|

Date: 1999
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DOI: 10.1007/978-1-4612-1588-2_8

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