Given n > 1, define f(z) = 1/z" for z +0. Show that f(z) = U(r, 0) + iV(r, 0) for cos(no) sin(no) U(r, 0) = V (r, 0) : sn pn Deduce that f(2) is holomorphic on the open set A = C \ {0} with f'(2) = Vz E A. zn+1
Given n > 1, define f(z) = 1/z" for z +0. Show that f(z) = U(r, 0) + iV(r, 0) for cos(no) sin(no) U(r, 0) = V (r, 0) : sn pn Deduce that f(2) is holomorphic on the open set A = C \ {0} with f'(2) = Vz E A. zn+1
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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