- #1
stunner5000pt
- 1,461
- 2
Show that this function is analytic
[tex] \left( x + \frac{x}{x^2 + y^2} \right) + i \left( y - \frac{y}{x^2 + y^2} \right) [/tex]
now... would i substitute [tex]x = \frac{z + \overline{z}}{2} [/tex]
and
[tex] y = \frac{z - \overline{z}}{2} [/tex]
and then see if z or z bar appear exlicitly in the function??
Would that solve it??
Is there an easier way? A less Messy way?
[tex] \left( x + \frac{x}{x^2 + y^2} \right) + i \left( y - \frac{y}{x^2 + y^2} \right) [/tex]
now... would i substitute [tex]x = \frac{z + \overline{z}}{2} [/tex]
and
[tex] y = \frac{z - \overline{z}}{2} [/tex]
and then see if z or z bar appear exlicitly in the function??
Would that solve it??
Is there an easier way? A less Messy way?