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- W2181668602 abstract "Stoilov [1] proved that φ has the Iversen property: for every curve γ : [0, 1] → C such that γ(0) = z0 and every ǫ > 0 there exists a curve γ1 : [0, 1] → C such that |γ(t) − γ1(t)| ≤ ǫ, 0 ≤ t ≤ 1, and φ has an analytic continuation along γ1. See also [2]. If F is of the form F (z, w) = z − f(w) then the stronger Gross property is known: φ has an analytic continuation along almost every ray beginning from z0. Does the Gross property hold for every implicit function defined by an entire relation in two variables?" @default.
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- W2181668602 date "2015-01-01" @default.
- W2181668602 modified "2023-09-27" @default.
- W2181668602 title "Singularities of implicit functions" @default.
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