2) a) Find all the branch points and all the discontinuity points for the following functions: i) 4(z) = 3-3√√2+₁ ii) f(2)= √ (Z+8) ³ (92-4)5 1+ √Z-1² iii) f(z) = Z+√Z-4 Z=√√22+5 b)) Compute Re fli) when: $(2) = √2-₁² and f(0) = -i c) Which of the following functions are analytic in 1Z1 < 2 and /or 1Z1 > 2: i) 2-√√24-42² (iii) Z²+6Z+9 ii) 2 Z²-1 Z-√Z74 √Z²³² +22+2 '"z2-42 + 3
2) a) Find all the branch points and all the discontinuity points for the following functions: i) 4(z) = 3-3√√2+₁ ii) f(2)= √ (Z+8) ³ (92-4)5 1+ √Z-1² iii) f(z) = Z+√Z-4 Z=√√22+5 b)) Compute Re fli) when: $(2) = √2-₁² and f(0) = -i c) Which of the following functions are analytic in 1Z1 < 2 and /or 1Z1 > 2: i) 2-√√24-42² (iii) Z²+6Z+9 ii) 2 Z²-1 Z-√Z74 √Z²³² +22+2 '"z2-42 + 3
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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Hi I need help with part b
Transcribed Image Text:2) a) Find all the branch points and all the discontinuity
points for the following functions:
i) 4(z) = 3-3√√2+₁
ii) f(2)= √ (Z+8) ³ (92-4)5
1+ √Z-1²
iii) f(z) =
Z+√Z-4
Z=√√22+5
b)) Compute Re fli) when: $(2) = √2-₁² and f(0) = -i
c) Which of the following functions are analytic in 1Z1 < 2
and /or
1Z1 > 2:
i) 2-√√24-42²
(iii)
Z²+6Z+9
ii)
2
Z²-1
Z-√Z74
√Z²³² +22+2
'"z2-42 + 3
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