scipy tutorial - Baustatik-Info-Server

SciPy Reference Guide, Release 0.8.dev
multigammaln(a, d)
returns the log of multivariate gamma, also sometimes called the generalized gamma.
Notes
Reference:
Parameters
a : ndarray
d : int
Returns
res : ndarray
the multivariate gamma is computed for each item of a
the dimension of the space of integration.
the values of the log multivariate gamma at the given points a.
R. J. Muirhead, Aspects of multivariate statistical theory (Wiley Series in probability and mathematical statistics).
Error Function and Fresnel Integrals
erf() y=erf(z) returns the error function of complex argument defined as
erfc() y=erfc(x) returns 1 - erf(x).
erfinv(y)
erfcinv(y)
erf_zeros(nt) Compute nt complex zeros of the error function erf(z).
fresnel(out1) (ssa,cca)=fresnel(z) returns the fresnel sin and cos integrals: integral(sin(pi/2
fresnel_zeros(nt) Compute nt complex zeros of the sine and cosine fresnel integrals
modfresnelp(out1) (fp,kp)=modfresnelp(x) returns the modified fresnel integrals F_+(x) and K_+(x)
modfresnelm(out1) (fm,km)=modfresnelp(x) returns the modified fresnel integrals F_-(x) amd K_-(x)
erf
y=erf(z) returns the error function of complex argument defined as as 2/sqrt(pi)*integral(exp(-t**2),t=0..z)
erfc
y=erfc(x) returns 1 - erf(x).
erfinv(y)
erfcinv(y)
erf_zeros(nt)
Compute nt complex zeros of the error function erf(z).
fresnel
(ssa,cca)=fresnel(z) returns the fresnel sin and cos integrals: integral(sin(pi/2 * t**2),t=0..z) and integral(cos(pi/2
* t**2),t=0..z) for real or complex z.
fresnel_zeros(nt)
Compute nt complex zeros of the sine and cosine fresnel integrals S(z) and C(z).
modfresnelp
(fp,kp)=modfresnelp(x) returns the modified fresnel integrals F_+(x) and K_+(x) as
fp=integral(exp(1j*t*t),t=x..inf) and kp=1/sqrt(pi)*exp(-1j*(x*x+pi/4))*fp
434 Chapter 3. Reference