(b) Let n, m be positive integers. Define a function (2zm + 3)"e-3z sin?(z) h(z) = zm+2n cos3 (z) Use the Argument Principle to calculate the value of h'(z) dz h(z) C(0,R) for the cases R = 1 and R = 5, where C(0, R) denotes the circle |z| = R oriented positively. Express your answer in terms of n and m.
(b) Let n, m be positive integers. Define a function (2zm + 3)"e-3z sin?(z) h(z) = zm+2n cos3 (z) Use the Argument Principle to calculate the value of h'(z) dz h(z) C(0,R) for the cases R = 1 and R = 5, where C(0, R) denotes the circle |z| = R oriented positively. Express your answer in terms of n and m.
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:(b)
Let n, m be positive integers. Define a function
(2zm + 3)"e-32 sin²(z)
h(z) =
zm+2n cos³ (z)
Use the Argument Principle to calculate the value of
h'(z)
dz
h(z)
C(0,R)
for the cases R = 1 and R = 5, where C(0, R) denotes the circle |z| = R oriented
positively. Express your answer in terms of n and m.
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