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Unformatted text preview: f maps a point ( x, y ) to the point ( x + x , y + y ). Thus f is a translation by ( x , y ). 37 We have + i = U f + iV f = g ( U + iV ) f. Since V is a harmonic conjugate of U , U + iV is analytic. Thus g f is analytic, being the composition of two analytic functions. Hence + i is analytic and so is a harmonic conjugate of ....
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This note was uploaded on 12/22/2011 for the course MAP 3305 taught by Professor Stuartchalk during the Fall '11 term at UNF.
- Fall '11