- #1
majesticman
- 26
- 0
I am going to provide my answer to a complex integral and i was just seeking a few pointers as to weather i was on the right track or was there something i completely forgot...happens quite a bit...lol
[tex]\oint exp(z+(1/z))[/tex] around the path [tex]\left |z|\right=1[/tex]
now i converted that to a Laurent series...to get
[tex]\sum ^{inf} _{0} (1/n!) (z+(1/z))^n [/tex]
then using the residue theorem i can have that the integral is equal to 2*pi*i given that b1=1 for taking the series around z=0
am i right?
[tex]\oint exp(z+(1/z))[/tex] around the path [tex]\left |z|\right=1[/tex]
now i converted that to a Laurent series...to get
[tex]\sum ^{inf} _{0} (1/n!) (z+(1/z))^n [/tex]
then using the residue theorem i can have that the integral is equal to 2*pi*i given that b1=1 for taking the series around z=0
am i right?