Liouville's theorem (complex analysis)
Teorema de Liouville (análisis complejo)
- Date
- 1844 · confidence medium
- Place
- Paris, France
- Credited to
- Joseph Liouville
- Field
- Knowledge & symbols
⚠️ Disputed: the sources disagree.
What was discovered
A theorem of complex analysis stating that every bounded entire function must be constant; it is considerably improved by Picard's little theorem.
Although named after Liouville, it was Cauchy who first proved it, in 1844.
What it led to
- Proofs of the fundamental theorem of algebra
- Basis for later results such as Picard's little theorem