Docs/Special Functions

Special Functions

Special mathematical functions (Bessel, Gamma, Error functions, etc.).

xsf.analysisFns.zeta
zeta
xsf.analysisFns.zeta(x)
xsf.analysisFns.zetac
zetac
xsf.analysisFns.zetac(x)
xsf.analysisFns.lambertw
lambertw
xsf.analysisFns.lambertw(x, k?)
xsf.besselFns.j0
j0
xsf.besselFns.j0(x)
xsf.besselFns.j1
j1
xsf.besselFns.j1(x)
xsf.besselFns.jv
jv
xsf.besselFns.jv(v, x)
xsf.besselFns.y0
y0
xsf.besselFns.y0(x)
xsf.besselFns.y1
y1
xsf.besselFns.y1(x)
xsf.besselFns.yv
yv
xsf.besselFns.yv(v, x)
xsf.besselFns.i0
i0
xsf.besselFns.i0(x)
xsf.besselFns.i1
i1
xsf.besselFns.i1(x)
xsf.besselFns.iv
iv
xsf.besselFns.iv(v, x)
xsf.besselFns.k0
k0
xsf.besselFns.k0(x)
xsf.besselFns.k1
k1
xsf.besselFns.k1(x)
xsf.besselFns.sphericalJn
sphericalJn
xsf.besselFns.sphericalJn(n, x)
xsf.besselFns.sphericalYn
sphericalYn
xsf.besselFns.sphericalYn(n, x)
xsf.besselFns.sphericalIn
sphericalIn
xsf.besselFns.sphericalIn(n, x)
xsf.besselFns.sphericalKn
sphericalKn
xsf.besselFns.sphericalKn(n, x)
xsf.besselFns.ber
ber
xsf.besselFns.ber(x)
xsf.besselFns.bei
bei
xsf.besselFns.bei(x)
xsf.besselFns.ker
ker
xsf.besselFns.ker(x)
xsf.besselFns.kei
kei
xsf.besselFns.kei(x)
xsf.besselFns.berp
berp
xsf.besselFns.berp(x)
xsf.besselFns.beip
beip
xsf.besselFns.beip(x)
xsf.besselFns.kerp
kerp
xsf.besselFns.kerp(x)
xsf.besselFns.keip
keip
xsf.besselFns.keip(x)
xsf.combinatoricsFns.binom
binom
xsf.combinatoricsFns.binom(n, k)
xsf.combinatoricsFns.binomExact
binomExact
xsf.combinatoricsFns.binomExact(n, k)
xsf.combinatoricsFns.poch
poch
xsf.combinatoricsFns.poch(x, m)
xsf.combinatoricsFns.permExact
permExact
xsf.combinatoricsFns.permExact(n, k)
xsf.errorFns.erf
erf
xsf.errorFns.erf(x)
xsf.errorFns.erfc
erfc
xsf.errorFns.erfc(x)
xsf.errorFns.erfcx
erfcx
xsf.errorFns.erfcx(x)
xsf.errorFns.erfi
erfi
xsf.errorFns.erfi(x)
xsf.gammaFns.gamma
gamma
xsf.gammaFns.gamma(x)
xsf.gammaFns.gammaln
gammaln
xsf.gammaFns.gammaln(x)
xsf.gammaFns.rgamma
rgamma
xsf.gammaFns.rgamma(x)
xsf.gammaFns.beta
beta
xsf.gammaFns.beta(a, b)
xsf.gammaFns.betaln
betaln
xsf.gammaFns.betaln(a, b)
xsf.gammaFns.digamma
digamma
xsf.gammaFns.digamma(x)
xsf.integralFns.ellipk
ellipk
xsf.integralFns.ellipk(m)
xsf.integralFns.ellipe
ellipe
xsf.integralFns.ellipe(m)
xsf.integralFns.ellipkinc
ellipkinc
xsf.integralFns.ellipkinc(phi, m)
xsf.integralFns.ellipeinc
ellipeinc
xsf.integralFns.ellipeinc(phi, m)
xsf.integralFns.ellipj
ellipj
xsf.integralFns.ellipj(u, m)
xsf.integralFns.exp1
exp1
xsf.integralFns.exp1(x)
xsf.integralFns.expi
expi
xsf.integralFns.expi(x)
xsf.integralFns.fresnel
fresnel
xsf.integralFns.fresnel(x)
xsf.integralFns.sici
sici
xsf.integralFns.sici(x)
xsf.integralFns.shichi
shichi
xsf.integralFns.shichi(x)
xsf.specialFns.airy
airy
xsf.specialFns.airy(x)
xsf.specialFns.struveH
struveH
xsf.specialFns.struveH(v, x)
xsf.specialFns.struveL
struveL
xsf.specialFns.struveL(v, x)
xsf.specialFns.legendreP
legendreP
xsf.specialFns.legendreP(n, x)
xsf.specialFns.hyp2f1
hyp2f1
xsf.specialFns.hyp2f1(a, b, c, x)
xsf.statsFns.ndtr
ndtr
xsf.statsFns.ndtr(x)
xsf.statsFns.ndtri
ndtri
xsf.statsFns.ndtri(p)
xsf.statsFns.logNdtr
logNdtr
xsf.statsFns.logNdtr(x)
xsf.statsFns.chdtr
chdtr
xsf.statsFns.chdtr(df, x)
xsf.statsFns.chdtrc
chdtrc
xsf.statsFns.chdtrc(df, x)
xsf.statsFns.chdtri
chdtri
xsf.statsFns.chdtri(df, p)
xsf.statsFns.fdtr
fdtr
xsf.statsFns.fdtr(dfn, dfd, x)
xsf.statsFns.fdtrc
fdtrc
xsf.statsFns.fdtrc(dfn, dfd, x)
xsf.statsFns.fdtri
fdtri
xsf.statsFns.fdtri(dfn, dfd, p)
xsf.statsFns.gdtr
gdtr
xsf.statsFns.gdtr(a, b, x)
xsf.statsFns.gdtrc
gdtrc
xsf.statsFns.gdtrc(a, b, x)
xsf.statsFns.pdtr
pdtr
xsf.statsFns.pdtr(k, m)
xsf.statsFns.pdtrc
pdtrc
xsf.statsFns.pdtrc(k, m)
xsf.statsFns.pdtri
Poisson distribution inverse CDF.
xsf.statsFns.pdtri(k, p)
xsf.statsFns.bdtr
Binomial distribution CDF.
xsf.statsFns.bdtr(k, n, p)
xsf.statsFns.bdtrc
Binomial distribution survival function.
xsf.statsFns.bdtrc(k, n, p)
xsf.statsFns.bdtri
Binomial distribution inverse CDF.
xsf.statsFns.bdtri(k, n, y)
xsf.statsFns.nbdtr
Negative binomial distribution CDF.
xsf.statsFns.nbdtr(k, n, p)
xsf.statsFns.nbdtrc
Negative binomial distribution survival function.
xsf.statsFns.nbdtrc(k, n, p)
xsf.statsFns.nbdtri
Negative binomial distribution inverse CDF.
xsf.statsFns.nbdtri(k, n, p)
xsf.statsFns.kolmogorov
kolmogorov
xsf.statsFns.kolmogorov(x)
xsf.statsFns.kolmogi
kolmogi
xsf.statsFns.kolmogi(p)
xsf.statsFns.smirnov
smirnov
xsf.statsFns.smirnov(n, x)
xsf.statsFns.smirnovi
smirnovi
xsf.statsFns.smirnovi(n, p)
xsf.statsFns.owensT
Owen's T function.
xsf.statsFns.owensT(h, a)
xsf.configureXSF
configureXSF
xsf.configureXSF(config)
xsf.getXSFModule
getXSFModule
xsf.getXSFModule()
xsf.isXSFLoaded
isXSFLoaded
xsf.isXSFLoaded()
xsf.loadXSFModule
loadXSFModule
xsf.loadXSFModule()
xsf.resetXSFModule
resetXSFModule
xsf.resetXSFModule()