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A capital Greek B of two variables, an integral of two powers.
Also known as: Beta function, Euler integral of the first kind, Capital B function
The beta function takes two arguments and is expressible entirely in gamma functions, which is usually how it is computed. It is written with a capital B rather than a Greek beta in most typography, so the name and the glyph disagree.
Denotes the Euler beta function, the integral of x^(a−1)(1−x)^(b−1) over the unit interval.
Contexts: Mathematics
Equals a ratio of gamma functions, which is how it is evaluated in practice and why it is rarely tabulated separately.
Contexts: Mathematics
Is typeset as a capital Latin B in most sources despite being named for the Greek letter, which is a genuine naming inconsistency.
Contexts: Mathematics
A capital letter B, or a Greek capital beta of the same form, followed by two bracketed variables separated by a comma.