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Assume that a function f is analytic in an annulus D centered at a point zo, that is D = { z € C; a < |z − zo|

Assume that a function f is analytic in an annulus D centered at a point zo, that is D = { z € C; a < |z − zo|

Advanced Engineering Mathematics
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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Assume that a function f is analytic in an annulus D centered at a point zo, that is D = {z € C; a < |z − zo| < b}, where 0 < a <b ≤ ∞ and zo E C. Show that = S____ f(2) dz - ____ f(2) dz |z-zol=r whenever a < r < s < b and the circles |z − zol |z - zol = s are positively oriented. = r and
Transcribed Image Text:Assume that a function f is analytic in an annulus D centered at a point zo, that is D = {z € C; a < |z − zo| < b}, where 0 < a <b ≤ ∞ and zo E C. Show that = S____ f(2) dz - ____ f(2) dz |z-zol=r whenever a < r < s < b and the circles |z − zol |z - zol = s are positively oriented. = r and
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