Let a, b e C with |a| # 1, |b| # 1. Evaluate the integraldz(9 – 2)(D – 2)Y0,1in the following cases:(i) |a| < 1< [b],(ii) a = b, |a| < 1,(iii) a + b, |a| <1 and |b| < 1.%3DThe contour yz0,r is a circle of radius r with centre zo (positive orientation).

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Let a, b e C with |a| # 1, |b| # 1. Evaluate the integral dz (z – a)(z – b) 70,1 in the following cases: (i) Ja| < 1< [b], (ii) a = b, |a| < 1, %3D (iii) a + b, |a| < 1 and |b| < 1. The contour y20,r is a circle of radius r with centre zo (positive orientation).

Let a, b e C with |a| # 1, |b| # 1. Evaluate the integral dz (z – a)(z – b) 70,1 in the following cases: (i) Ja| < 1< [b], (ii) a = b, |a| < 1, %3D (iii) a + b, |a| < 1 and |b| < 1. The contour y20,r is a circle of radius r with centre zo (positive orientation).

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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Question

Let a, b e C with |a| # 1, |b| # 1. Evaluate the integral
dz
(9 – 2)(D – 2)
Y0,1
in the following cases:
(i) |a| < 1< [b],
(ii) a = b, |a| < 1,
(iii) a + b, |a| <1 and |b| < 1.
%3D
The contour yz0,r is a circle of radius r with centre zo (positive orientation).

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