This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (i) y = 0; x : !" , + " ( ) , traversed from !" to + " . (ii) y = 1; x : !" , + " ( ) , traversed from !" to + " . (iii) y = ! 1; x : !" , + " ( ) , traversed from !" to + " . (b) For the domain of the finite z plane (entire z plane except z = ! ), what is the range of f ? 5. Show that d dz z 3 ( ) exists and find it. 2 6. Show that d dz z n ( ) = nz n ! 1 for n = positive integer. 7. ( Extra credit ) Prove that if f z ( ) = ! + j " is analytic ( and are real), then and are harmonic; in other words, show that and each satisfy Laplaces equation: ! 2 ! x 2 + ! 2 ! y 2 = ! 2 # ! x 2 + ! 2 ! y 2 = 0....
View
Full
Document
This note was uploaded on 02/25/2009 for the course EE 401 taught by Professor Staff during the Fall '08 term at USC.
 Fall '08
 staff

Click to edit the document details