Consider the function f (z) = ²-sin z z3 The Laurent series of f (z) around 0 is : 1 z2 a) 3! 5! 7! b) ... - 3! 5! 7! 1 1 1 1 1 c) 3! z 5! z2 1 1 + 7! z4 1 d) - - 3! z 5! z2 7! z4 1.

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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Question
z-sin z
Consider the function f (z) =
z3
The Laurent series of f (z) around 0 is :
a)
3!
...
5!
7!
1
b)
3!
1 1
c)
3! z
5!
7!
1
1
-- ..
7! z4
1
1
1
d)
3! z
7!
b.
С.
O d.
: +
a.
Transcribed Image Text:z-sin z Consider the function f (z) = z3 The Laurent series of f (z) around 0 is : a) 3! ... 5! 7! 1 b) 3! 1 1 c) 3! z 5! 7! 1 1 -- .. 7! z4 1 1 1 d) 3! z 7! b. С. O d. : + a.
Consider the function f (z)
z-sin z
23
The type of the singular point 0 is:
а) Pole
b) Removable point
c) Essential point
а.
O b.
С.
Transcribed Image Text:Consider the function f (z) z-sin z 23 The type of the singular point 0 is: а) Pole b) Removable point c) Essential point а. O b. С.
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