gamma function

gamma function meaning in Tamil and Persian

Synonyms of gamma function

• Euler integral of the second kind

Forms of gamma function

Origin of gamma function

The function itself was initially defined as an integral (in modern representation, Γ(x)=∫₀ ᪲e⁻ᵗtˣ⁻¹dt) for positive real x by Swiss mathematician Leonhard Euler in 1730. The name derives from the notation, Γ(x), which was introduced by Adrien-Marie Legendre (1752—1833) (he referred to it, however, as the Eulerian integral of the second kind). Both Euler's integral and Legendre's notation shift the argument with respect to the factorial, so that for integer n>0, Γ(n) = (n−1)!. Carl Friedrich Gauss preferred π(x), with no shift, but Legendre's notation prevailed. Generalisation to non-integer negative and to complex numbers was achieved by analytic continuation.

Questions about gamma function

What does gamma function mean?

Gamma function means a meromorphic function which generalizes the notion of factorial to complex numbers and has singularities at the nonpositive integers; any of certain generalizations or analogues of said function, such as extend the factorial to domains other than the complex numbers.

What is gamma function in Tamil?

Gamma function in Tamil is காமாச் சார்பு, காமாச்சார்பு. See Gamma function meaning in Tamil.

What part of speech is gamma function?

Gamma function is a noun.

What is the plural of gamma function?

The plural of gamma function is gamma functions.