gamma - Maple Help

gamma

Description

 The names Γ and γ may refer to any of several distinct quantities or operations.
 • For the number 0.577215... (Euler's constant), see gamma.
 • For the Gamma function, see GAMMA.
 • For the Gamma distribution in statistics, see Statistics[Distributions][Gamma].
 • For adjusting the gamma of an image, see ImageTools[Gamma].
 • For the Dirac gamma matrices, see Physics[Dgamma].
 • For the Gamma process in finance, see Finance[GammaProcess].
 • For the risk measure Gamma under the Black-Scholes model, see Finance[BlackScholesGamma].
 • For the Digamma and Polygamma functions, see Psi.

Examples

 > $\mathrm{limit}\left(\left(\mathrm{sum}\left(\frac{1}{k},k=1..n\right)\right)-\mathrm{log}\left(n\right),n=\mathrm{\infty }\right)$
 ${\mathrm{\gamma }}$ (1)
 > $\mathrm{evalf}\left[20\right]\left(\mathrm{\gamma }\right)$
 ${0.57721566490153286061}$ (2)
 > $\mathrm{diff}\left(\mathrm{\Gamma }\left(x\right),x\right)$
 ${\mathrm{\Psi }}{}\left({x}\right){}{\mathrm{\Gamma }}{}\left({x}\right)$ (3)
 > $\mathrm{with}\left(\mathrm{Statistics}\right):$
 > $X≔\mathrm{RandomVariable}\left(\mathrm{GammaDistribution}\left(b,c\right)\right)$
 ${X}{≔}{\mathrm{_R}}$ (4)
 > $\mathrm{Variance}\left(X\right)$
 ${{b}}^{{2}}{}{c}$ (5)