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Bohr–Mollerup theorem

Index Bohr–Mollerup theorem

In mathematical analysis, the Bohr–Mollerup theorem is a theorem named after the Danish mathematicians Harald Bohr and Johannes Mollerup, who proved it. [1]

9 relations: Characterization (mathematics), Complex analysis, Emil Artin, Gamma function, Harald Bohr, Johannes Mollerup, Logarithmically convex function, Mathematical analysis, Mathematics.

Characterization (mathematics)

In mathematics, the statement that "Property P characterizes object X" means that not only does X have property P, but that X is the only thing that has property P. In other words, P is a defining property of X. It is also common to find statements such as "Property Q characterises Y up to isomorphism".

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Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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Emil Artin

Emil Artin (March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent.

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Gamma function

In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

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Harald Bohr

Harald August Bohr (22 April 1887 – 22 January 1951) was a Danish mathematician and soccer player.

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Johannes Mollerup

Johannes Mollerup (born 3 December 1872 in Nyborg; died 27 June 1937) was a Danish mathematician.

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Logarithmically convex function

In mathematics, a function f defined on a convex subset of a real vector space and taking positive values is said to be logarithmically convex or superconvex if \circ f, the composition of the logarithmic function with f, is a convex function.

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Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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References

[1] https://en.wikipedia.org/wiki/Bohr–Mollerup_theorem

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