beta function

noun

A mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function.

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Meanings

nounbeta function (plural beta functions)

plural beta functions

  1. mathematical analysisA mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function.
    1 more example

    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.

Translations

German Betafunktion
  • Betafunktionfunction which generalizes the notion of a factorial
Polish funkcja beta
  • funkcja betafunction which generalizes the notion of a factorial
Turkish beta fonksiyonu
  • beta fonksiyonufunction which generalizes the notion of a factorial
Cite this entry
APA

beta function. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/beta%20function

MLA

“beta function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/beta%20function. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “beta function,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/beta%20function.

Source: beta function on Wiktionary, CC BY-SA 4.0.