mathematics, the gamma function (represented by Γ, capital Greek letter gamma) is the most common extension of the factorial function to complex numbers...
91 KB (13,517 words) - 14:35, 30 October 2024
In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems...
43 KB (7,172 words) - 16:46, 26 October 2024
distribution functions of the gamma distribution vary based on the chosen parameterization, both offering insights into the behavior of gamma-distributed...
64 KB (8,972 words) - 09:28, 10 October 2024
In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z )...
35 KB (7,084 words) - 00:30, 21 August 2024
reciprocal gamma function is the function f ( z ) = 1 Γ ( z ) , {\displaystyle f(z)={\frac {1}{\Gamma (z)}},} where Γ(z) denotes the gamma function. Since...
11 KB (1,437 words) - 14:18, 7 August 2024
mathematics, the inverse gamma function Γ − 1 ( x ) {\displaystyle \Gamma ^{-1}(x)} is the inverse function of the gamma function. In other words, y = Γ...
5 KB (815 words) - 07:05, 31 May 2024
the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial...
19 KB (4,004 words) - 02:56, 29 October 2024
{\displaystyle \Gamma } is used as a symbol for: In mathematics, the gamma function (usually written as Γ {\displaystyle \Gamma } -function) is an extension...
11 KB (1,308 words) - 22:26, 22 October 2024
The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half-integer...
17 KB (3,079 words) - 20:33, 28 October 2024
scaled inverse chi-squared distribution. The inverse gamma distribution's probability density function is defined over the support x > 0 {\displaystyle x>0}...
11 KB (1,633 words) - 15:49, 11 October 2024