A holomorphic function f on an open U ⊃ K (K compact) can be uniformly approximated on K by rational functions whose poles lie in ℂ \ K. If ℂ \ K is connected, polynomial approximation suffices. Foundational for holomorphic approximation…
A holomorphic function f on an open U ⊃ K (K compact) can be uniformly approximated on K by rational functions whose poles lie in ℂ \ K. If ℂ \ K is connected, polynomial approximation suffices. Foundational for holomorphic approximation…