Find the Laurent series that converges for 0 < |z|
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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Transcribed Image Text:Find the Laurent series that converges for 0 < |z| <R and determine the specific region of
convergence for the following functions:
O1/e-1)
Find all possible Taylor and Laurent series expansions of the function
5. ? cosh (1/2)
6. sinh z/2
AE) = 1/[(z+1) (z + 2)1
about the point z = 1, Find the Laurent series that converges for 0< |z - zol < R and
determine the specific region of convergence for the Problems (8 -11)
8. /(z-1', zo=1
10 cosh z/(z+ ni), zo= - ni
9. 2/(2+29, zo =-2i
11. 1/(1+2), z =-i.
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