Questionof the night q12) let z =x+ iy, then which of the following function is analytic a) fz) = x - iy. b) flz)= e*(cosy isiny). c) f{z) = e(cosy - isiny). d)

QUESTIONOF THE NIGHT Q12) Let z =x+ iy, then which of the following function is analytic A) fz) = x - iy. B) flz)= e*(cosy isiny). C) f{z) = e(cosy - isiny). D) None of the above.

2 Answer(s)

0 Likes
4 Comments
0 Shares

>
Gurpreet kaur

thanks
- Likes(0)
- Reply(0)

S
Shashi ranjan sinha

see attachments.....in 3rd option, since the four partial derivatives Us,Uy, Vx, Vy exists & are continuous everywhere and they satisfy CR equations, so the third function is analytic function
- Likes(1)
- Reply(2)
only C R equations not sufficient for analyticity
- Like(1)
Yes sir... u r absolutely right... thanks for grabbing my attention to the mistake I did
- Like(0)