Abstract
When Ω1,Ω2 are two regions such that and, i = 1, 2, while f1(z) = f2(z) in Ω3 then the function element (f2, Ω2) resp. (f1, Ω1) is an immediate analytic continuation of the function element (f1, Ω1) resp. (f 2,Ω2). When Ω i , 1 ≤ i ≤n, is a finite sequence of regions such that
, and each (f i+1, Ω i+1) is an immediate analytic continuation of (f i , Ω i ) then (f n , Ω n ) is an analytic continuation of (f1, Ω1).
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© 1992 Springer Science+Business Media New York
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Gelbaum, B.R. (1992). Analytic Continuation. In: Problems in Real and Complex Analysis. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0925-6_11
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DOI: https://doi.org/10.1007/978-1-4612-0925-6_11
Publisher Name: Springer, New York, NY
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