EBK NUMERICAL ANALYSIS
10th Edition
ISBN: 9781305465350
Author: BURDEN
Publisher: YUZU
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Let f(z) be complex differentiable everywhere in C. Fix two distinct
complex numbers a and b and a circle C of radius R with |a| < R,|b| < R traversed in the
counter-clockwise direction. Evaluate the integral
Sc −
f(z)dz
(z - a)(z – b)
in terms of a,
b and the values of f at those points.
| Let C be a circle (with a positive radius) such that z = 1 lies in its interior.
Evaluate the contour integral
So Tz
zez
(z - 1)³
=
where C is traversed in the clockwise direction.
dz
question 8
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