Wielandt theorem
In mathematics, the Wielandt theorem characterizes the gamma function, defined for all complex numbers for which by
as the only function defined on the half-plane such that:
- is holomorphic on ;
- ;
- for all and
- is bounded on the strip .
This theorem named after the mathematician Helmut Wielandt.
See also[]
Reference[]
- Reinhold Remmert (1996). "Wielandt's theorem about the Γ-function". American Mathematical Monthly. 103: 214–220. JSTOR 2975370..
Categories:
- Gamma and related functions
- Theorems in complex analysis