- #1
zetafunction
- 391
- 0
my question is , let us have the following complex integral
[tex] \oint f(z)dz [/tex] where f(z) has a simple pole at [tex] z=\infty [/tex]
then by Residue theorem [tex] \oint f(z)dz =2\pi i Res(z,\infty,f(z) [/tex]
or equal to the limit [tex] (z-\infty )f(z) [/tex] with 'z' tending to infinity
[tex] \oint f(z)dz [/tex] where f(z) has a simple pole at [tex] z=\infty [/tex]
then by Residue theorem [tex] \oint f(z)dz =2\pi i Res(z,\infty,f(z) [/tex]
or equal to the limit [tex] (z-\infty )f(z) [/tex] with 'z' tending to infinity