Mittag-Leffler's theorem
Teorema de Mittag-Leffler
- Date
- 1876-1884 · confidence high
- Place
- Stockholm, Sweden
- Credited to
- Gösta Mittag-Leffler
- Field
- Knowledge & symbols
What was discovered
A complex analysis theorem guaranteeing the existence of meromorphic functions with prescribed poles, and letting any meromorphic function be expressed as a sum of partial fractions, published by Swedish mathematician Gösta Mittag-Leffler.
What it led to
- fundamental tool in the theory of meromorphic functions
- complement to the Weierstrass factorization theorem on prescribed zeros
- basis for methods of constructing special functions
- applications in the theory of complex differential equations