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 is named after the mathematician Helmut Wielandt.

See also

• Bohr–Mollerup theorem
• Hadamard's gamma function