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  • [[Carlitz-Goss Gamma function]]<br /> ==Gamma function and friends==
    26 KB (2,938 words) - 15:47, 26 August 2023
  • The $q$-Gaussian distribution has [[probability density function]] \dfrac{2\sqrt{\pi}\Gamma(\frac{1}{1-q})}{(3-q)\sqrt{1-q}\Gamma(\frac{3-q}{2(1-q)})}&; -\infty < q < 1 \\
    498 bytes (74 words) - 18:55, 24 May 2016
  • :::17.7. Riemann's zeta function and the distribution of prime numbers :::19.10. Gamma functions. Legendre functions and Gauss' hypergeometric function. Generaliz
    5 KB (544 words) - 05:44, 4 March 2018
  • ...F \colon \mathbb{R} \rightarrow \mathbb{R}$ for $x_0 \in \mathbb{R}$ and $\gamma > 0$ is given by $$F(x) = \dfrac{1}{\pi} \mathrm{arctan} \left( \dfrac{x-x_0}{\gamma} \right) + \dfrac{1}{2},$$
    393 bytes (51 words) - 15:41, 9 March 2018