and 2 others joined a min ago.
0
3.6kviews
If f(z)= (ax4 + bx2y2 + cy4 + dx2 - 2y2) + i(4x3y - exy3 + 4xy) is analytic, find the constants a,b,c,d,e
1 Answer
0
376views
written 3.0 years ago by
teamques10
★ 65k
|
$Since,\ f\left(z\right)is\ analytic,\ Cauchy^{'}s\ Reimann^{'}s \[2ex]equation\ will\ be\ satisfied.$ $\displaystyle (1)If\ x\not=0\ and\ y\not=0\ then\ ux,\ uy,\ vx,\ vy\ , are\ continuous\ function\ of\ x\ \&\ y. \[2ex]
\displaystyle (2)\ ux\ =vy\ \ \ \ \ \ \ \ \ \ \ \ and \[2ex]
\displaystyle (3)\ uy\ =-\ vx\ …
and 5 others joined a min ago.
ADD COMMENT
EDIT
Please log in to add an answer.