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Wielandt theorem
Characterization of the gamma function From Wikipedia, the free encyclopedia
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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 is named after the mathematician Helmut Wielandt.
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See also
References
- Reinhold Remmert (1996). "Wielandt's theorem about the Γ-function". American Mathematical Monthly. 103: 214–220. JSTOR 2975370..
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