Phrase guide

beta function

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

3 source translations are retained for this English entry.

  • German: Betafunktion — function which generalizes the notion of a factorial
  • Polish: funkcja beta — function which generalizes the notion of a factorial
  • Turkish: beta fonksiyonu — function which generalizes the notion of a factorial