Question

The only meromorphic functions on riemann sphere are rationals

Answer 1

Hey..!

When D is the entire Riemann sphere, the field of meromorphic functions is simply the field of rational functions in one variable over the complex field, since one can prove that any meromorphic function on the sphere is rational.

Thanks.. :)

Answer 2

Heya!!!

The D is the entire Reimann sphere the feild sphere the feild of meromorphic function is simply the feild of rational functions in one variable over the complex feild since one can prove that any meromorphic function on the sphere is rational.

Hope this helps ❤️❤️