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Problem 4.6 on G with the property Show that f is holomorphic on G. Let GCC be an open set and let f be a function that is continuous ez, ZEG.

Problem 4.6 on G with the property Show that f is holomorphic on G. Let GCC be an open set and let f be a function that is continuous ez, ZEG.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let GCC be an open set and let / be a function that is continuous ef(2)=z, ZEG. Problem 4.6. on G with the property Show that f is holomorphic on G. Remark. This shows that a continuously defined logarithm on an open set is immediately holomorphic
Transcribed Image Text:Let GCC be an open set and let / be a function that is continuous ef(2)=z, ZEG. Problem 4.6. on G with the property Show that f is holomorphic on G. Remark. This shows that a continuously defined logarithm on an open set is immediately holomorphic
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