Question

6. (a)
Determine the stereographic projection of the points
== x+iy of extended complex plane on the sphere
1
of radius and centre
in R3
2.
4
Prove that f(2)=> is nowhere differentiable but
continuous everywhere in complex plane.
4
(b)
7.
(a)
Show that the function u.1, y)=x-3172 is
harmonic and find the corresponding analytic
function.
(b)
Prove that the function S(-) =
10.
-=0
is not analytic at the origin, although the Cauchy-
Riemann equations are satisfied at that point.
4
My​

Answer 1

oooooobgffgtcbyttyg chinnu idini october dudiyo dhruvi