View source for Bohr-Mollerup theorem

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The [[Gamma-function|gamma-function]] on the positive real axis is the unique positive, logarithmically convex function $f$ such that $f(1)=1$ and $f(x+1) = xf(x)$ for all $x$.

====References====

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|valign="top"|{{Ref|Ar}}||valign="top"| E. Artin, "The gamma function", Holt, Rinehart &amp; Winston (1964)
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|valign="top"|{{Ref|Bo}}||valign="top"| H.P. Boas, "Bohr's power series theorem in several variables"  ''Proc. Amer. Math. Soc.'', '''125'''  (1997)  pp. 2975–2979
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|valign="top"|{{Ref|Ca}}||valign="top"| C. Caratheodory, "Theory of functions of a complex variable", '''1''', Chelsea  (1983)  Sects. 274–275
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