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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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