beta function
English
Noun
beta function (plural beta functions)
- (mathematical analysis) A mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function.
- Considering the equation of the binomial coefficient n choose k described in terms of the factorial, replacing n with p + q and k with p, turning the RHS upside-down and replacing factorials with the Gamma function, then replacing (p + q) choose p with Β(p, q) yields Euler's equation for the Beta function.
Hypernyms
- function
Hyponyms
- incomplete beta function
Translations
function which generalizes the notion of a factorial
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