25.1. Expand each of the following functions f(z) in a Laurent series on the indicated domain: (a). 2²-2z+5 (z-2)(2²+1)' (²=6 (c). Log 1<|z|<2, (b). (²−¹), |z−1|>1, where b>a> 1 are real, [2] > b.
25.1. Expand each of the following functions f(z) in a Laurent series on the indicated domain: (a). 2²-2z+5 (z-2)(2²+1)' (²=6 (c). Log 1<|z|<2, (b). (²−¹), |z−1|>1, where b>a> 1 are real, [2] > b.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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![25.1. Expand each of the following functions f(z) in a Laurent series
on the indicated domain:
(a).
2²-22+5
(2-2)(2²+1)¹
(c). Log (4) where b> a > 1 are real, [2] > b.
1<z <2, (b). -1), 2-1|>1,
25.2. Find the Laurent series for the function 1/[2(2-1)] in the follow-
ing domains: (a). 0< |z| < 1, (b). 1</z/, (c). 0</2-1 <1, (d). 1<
|z-1, (e). 1 < 2-2 < 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc36ba591-7af6-471d-8c19-eae3d44184ee%2F67dd89f3-c9e9-4ae1-910e-63e2f1c7c3ac%2Fpdslu36_processed.jpeg&w=3840&q=75)
Transcribed Image Text:25.1. Expand each of the following functions f(z) in a Laurent series
on the indicated domain:
(a).
2²-22+5
(2-2)(2²+1)¹
(c). Log (4) where b> a > 1 are real, [2] > b.
1<z <2, (b). -1), 2-1|>1,
25.2. Find the Laurent series for the function 1/[2(2-1)] in the follow-
ing domains: (a). 0< |z| < 1, (b). 1</z/, (c). 0</2-1 <1, (d). 1<
|z-1, (e). 1 < 2-2 < 2.
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