“BohrMollerupTheorem”的概念、定义、习题解题方法及翻译-数学辞典

单词	BohrMollerupTheorem
释义	Bohr-Mollerup theorem Let $f:\\mathbb{R}^{+}\\rightarrow\\mathbb{R^{+}}$ be a function with the following properties: 1. $\\log f(x)$ is a convex function (i.e. $f$ is logarithmically convex); 2. $f(x+1)=xf(x)$ for all $x>0$ ; 3. $f(1)=1.$ Then $f(x)=\\Gamma(x)$ for all $x>0$ . That is, the only function satisfying those properties is the gamma function (restricted to the positive reals.)
随便看	ProofOfHeronsFormula proof of Heron’s formula ProofOfHilbertBasisTheorem proof of Hilbert basis theorem ProofOfHilbertsNullstellensatz ProofOfHilbertSpaceIsUniformlyConvexSpace proof of Hilbert space is uniformly convex space ProofOfHilbertTheorem90 proof of Hilbert Theorem 90 proof of Hilbert’s Nullstellensatz ProofOfHittingTimesAreStoppingTimesForRightcontinuousProcesses proof of hitting times are stopping times for right-continuous processes ProofOfHolderInequality ProofOfHomomorphicImageOfASigmastructureIsASigmastructure proof of homomorphic image of a Σ-structure is a Σ-structure proof of Hölder inequality ProofOfIdentityTheoremOfHolomorphicFunctions proof of identity theorem of holomorphic functions ProofOfIdentityTheoremOfPowerSeries proof of identity theorem of power series proof of identity theorem of power series ProofOfIdentityTheoremOfPowerSeries1 ProofOfImplicitFunctionTheorem proof of implicit function theorem ProofOfInequalitiesForDifferenceOfPowers

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Bohr-Mollerup theorem