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• Find the branch points of the function w = f(2) = Vz²(z – 1) %3D and draw the branch cut (if any). Hint: let z =r¡e*1, 2-1 = rzeï©2 and consider a closed curve enclosing only z = 0 or z = 1. %3D • Is z = 00 a branch point? Hint: let z = a closed curve enclosing = 0. ! and consider

• Find the branch points of the function w = f(2) = Vz²(z – 1) %3D and draw the branch cut (if any). Hint: let z =r¡e*1, 2-1 = rzeï©2 and consider a closed curve enclosing only z = 0 or z = 1. %3D • Is z = 00 a branch point? Hint: let z = a closed curve enclosing = 0. ! and consider

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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f(z) if The point z is called a branch point of ww = Arg (w) does not return to its initial value when a closed simple curve around z is traced in anticlockwise direction. • Find the branch points of the function w = f(2) = /z²(z 1) W%3D and draw the branch cut (if any). Hint: let z =rje®1, :-1 = rzeïo and consider a closed curve enclosing only z = 0 or z = 1. %3D • Is z = 0 a branch point? Hint: let z = ! and consider a closed curve enclosing = 0.
Transcribed Image Text:f(z) if The point z is called a branch point of ww = Arg (w) does not return to its initial value when a closed simple curve around z is traced in anticlockwise direction. • Find the branch points of the function w = f(2) = /z²(z 1) W%3D and draw the branch cut (if any). Hint: let z =rje®1, :-1 = rzeïo and consider a closed curve enclosing only z = 0 or z = 1. %3D • Is z = 0 a branch point? Hint: let z = ! and consider a closed curve enclosing = 0.
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