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Get Full Access to Complex Variables And Applications - 9 Edition - Chapter Chapter 3 - Problem 3.26
Get Full Access to Complex Variables And Applications - 9 Edition - Chapter Chapter 3 - Problem 3.26

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# Show that a branch (Sec. 33) log ::: = In r + iO ( r > 0.

ISBN: 9780073383170 169

## Solution for problem 3.26 Chapter Chapter 3

Complex Variables and Applications | 9th Edition

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Problem 3.26

Show that a branch (Sec. 33) log ::: = In r + iO ( r > 0. a < 0 < u + 27 ) of the logarithmic function can be written log:= - ln(r + y-) + i tan- :_ I , , 1 ( r) 2 x in rectangularcoordinates. Then. using the theorem in Sec. 23. show that the given branch is analytic in its domain of delinition and that there. cl 1 -log:::= - cl::: - :::

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