Meaning of gamma function in English:

gamma function

noun

  • A function (symbol Γ) which extends the notion of factorial n (written n!) from positive whole numbers to real and complex variables, given by Γ(z) = ∫∞ 0 t z − 1 e − t dt.

    The function has the properties that Γ(z) = (z − 1)!, and Γ(z + 1) = zΓ(z), and is undefined for values of z that are negative whole numbers or zero. The "incomplete gamma function" is obtained by varying one or other of the limits of integration in the defining equation.

Origin

Mid 19th century; earliest use found in Reports of the British Association for the Advancement of Science.