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Wielandt theorem

From Wikipedia, the free encyclopedia

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.

See also

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References

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  • Reinhold Remmert (1996). "Wielandt's theorem about the Γ-function". American Mathematical Monthly. 103: 214–220. JSTOR 2975370..