Liouville's theorem (angolul)
Keresés: " Liouville's theorem ", a következő helyen NRICH | PLUS | maths.org | Google
Definíció (felsőfok)
Every bounded entire function is constant.
This may be used to prove the fundamental theorem of algebra, by considering the reciprocal of a non-zero polynomial (whose reciprocal must therefore be entire).
This may be used to prove the fundamental theorem of algebra, by considering the reciprocal of a non-zero polynomial (whose reciprocal must therefore be entire).
Támogatók: EU Socrates Minerva, HeyMath!, Cambridge University Press