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Asked Apr 30, 2019
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Z is a complex variable

z=x+iy 

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6.96. Expand each of the following functions in a Laurent series about z -0, naming the type of singularity in each case
(d) ze-t
(b) ez/Z3,
(a) (1-
Z-l cosh z-1,
4
(c)
cos Z)/Z,
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6.96. Expand each of the following functions in a Laurent series about z -0, naming the type of singularity in each case (d) ze-t (b) ez/Z3, (a) (1- Z-l cosh z-1, 4 (c) cos Z)/Z,

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Expert Answer

Step 1

We know some general Laurant series expansion of ex,cosx,coshx as following :

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Step 2

(a)The laurant series expression for first the expression at z=0 shown below:

and the Laurant series expansion is removable singularity.

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Step 3

(b)The laurant series expression for first the expression at z=0 shown b...

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