tibphysic Messages 3 Reaction score 0 Thread starter Aug 5, 2011 #1 (3+x-iy)^7 is analytic function of the complex variable z=x+iy in the domain [z]<2?
BackEMF Messages 56 Reaction score 0 Aug 5, 2011 #2 Nope, [tex]f(z) = (3+x-iy)^7 = (3+\bar{z})^7[/tex] [tex]\frac{df}{d\bar{z}} = 7(3+\bar{z})^6 \neq 0, \,\mathrm{for}\; |z| < 2.[/tex]
Nope, [tex]f(z) = (3+x-iy)^7 = (3+\bar{z})^7[/tex] [tex]\frac{df}{d\bar{z}} = 7(3+\bar{z})^6 \neq 0, \,\mathrm{for}\; |z| < 2.[/tex]