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Compute Re fli) when : $(Z) = √2-1² and f(0)= -i

Compute Re fli) when : $(Z) = √2-1² and f(0)= -i

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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I need help with 2b, 

2) a) Find all the branch points and all the discontinuity points for the following functions: i) f(²)= 3-3√√√2+₁ ii) f(z)= √ (Z+8) ³ (92-4)5 1+ √Z-1¹ iii) f(z) = Z+Z-4 2-√√24-42² 2²+67+9 -√22+5 b) Compute Re fli) when: f(2)= √Z - 1² and f(0)= - i c) Which of the following functions are analytic in 1Z1 < 2 and /or 1Z1 > 2: i) (iii) ii) Z²-1 Z-√ZZA √√√Z²2² +22+2 Z²-42+3
Transcribed Image Text:2) a) Find all the branch points and all the discontinuity points for the following functions: i) f(²)= 3-3√√√2+₁ ii) f(z)= √ (Z+8) ³ (92-4)5 1+ √Z-1¹ iii) f(z) = Z+Z-4 2-√√24-42² 2²+67+9 -√22+5 b) Compute Re fli) when: f(2)= √Z - 1² and f(0)= - i c) Which of the following functions are analytic in 1Z1 < 2 and /or 1Z1 > 2: i) (iii) ii) Z²-1 Z-√ZZA √√√Z²2² +22+2 Z²-42+3
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