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In mathematics, the gamma function (represented by Γ {\displaystyle \Gamma } , capital Greek letter gamma) is the most common extension of the factorial function to complex numbers. First studied by Daniel Bernoulli, the gamma function Γ ( z ) {\displaystyle \Gamma (z)} is defined for all complex numbers z {\displaystyle z} except non-positive integers…
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Gamma function | Fields of application | Calculus, mathematical analysis, statistics, physics | 1.00 | infobox |
| Gamma function | General definition | Γ ( z ) = ∫ 0 ∞ t z − 1 e − t d t {\displaystyle \Gamma (z)=\int _{0}^{\infty }t^{z-1}e^{-t}\,dt} | 1.00 | infobox |
| Gamma function | is a | most popular and useful | 0.90 | text |
| Gamma function | is a | strictly logarithmically convex function | 0.90 | text |
| Gamma function | is a | entire function and has been studied as a specific topic.The gamma function also shows up in an important relation with the Riemann zeta function | 0.90 | text |
| Gamma function | is a | unique function that simultaneously satisfies | 0.90 | text |
| Gamma function | is a | study of the Riemann zeta function | 0.90 | text |
| Gamma function | is a | integral of the additive character e | 0.90 | text |
| Gamma function | is a | continuous analogue of a Gauss sum.19th | 0.90 | text |
| Gamma function | is a | unique solution to the factorial recurrence relation that is positive and logarithmically convex for positive | 0.90 | text |
| Gamma function | is a | continuous analogue of a Gauss sum | 0.90 | text |
| probability theory | instance of | and by extension in areas | 0.80 | text |
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