(a) integral over gamma of (e^z - e^-z)/(z^n) dz, where n is positive integer
and gamma(t) = e^(it), 0 =< t =< 2 pi
(b) integral over gamma of (dz/(z^2 + 1) ) where gamma(t) = 2e^(it),
0 =< t =< 2pi
( Hint: expand (z^2 + 1)^-1 by means of partial fractions
PLEASE USE POWER SERIES REPRESENTATION OF ANALYTIC FUNCTIONS, I only
want the answer to be done using power series representation of analytic functions.
Solution Summary
This shows how to perform complex integration using power series representation.
... 1. The representation of functions by power series. 2. Finding the power series by integration. 3. General understanding of the Taylor & Maclaurin series. ...
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... T} = Exp{-n×λ×T}) = Exp{-λsT} Figure 1. Representation of a ... Let a computer system be composed of five identical terminals in series. ... n×T power of unit ...
