dz Compute Pc z-1)(z+i)(z-i)' where C is the simple closed path in the following (z-1)(z+i)(z-i) ' three cases: (i) The point 1 is in the interior of C and the points ±i are in the exterior of C. (ii) The points 1 and i are in the interior of C and the point -i is in the exterior of C. (iii) All the points 1, ti are in the interior of C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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dz
Compute f.
where C is the simple closed path in the following
(z-1)(z+i)(z-i)
three cases: (i) The point 1 is in the interior of C and the points ti are in the
exterior of C. (ii) The points 1 and i are in the interior of C and the point -i is in
the exterior of C. (iii) All the points 1, ±i are in the interior of C.
Transcribed Image Text:dz Compute f. where C is the simple closed path in the following (z-1)(z+i)(z-i) three cases: (i) The point 1 is in the interior of C and the points ti are in the exterior of C. (ii) The points 1 and i are in the interior of C and the point -i is in the exterior of C. (iii) All the points 1, ±i are in the interior of C.
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