Let D CC be a domain, BCD an o that BC D. If f is holomorphic in D (f(B)) of f(B) is contained in f(aE

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let D CC be a domain, B C D an open and bounded subset such
that BC D. Iff is holomorphic in D then show that the boundary
a(f(B)) of f(B) is contained in f(aB). Conclude that this is not
true if B is unbounded.
Transcribed Image Text:Let D CC be a domain, B C D an open and bounded subset such that BC D. Iff is holomorphic in D then show that the boundary a(f(B)) of f(B) is contained in f(aB). Conclude that this is not true if B is unbounded.
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