beta function

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English

Noun

beta function (plural beta functions)

  1. (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.

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