abs
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- absolute value of real or complex number
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AiryAi,
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- Airy wave functions and their negative real zeros
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AiryAiZeros,
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AiryBi,
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AiryBiZeros
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AngerJ
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- Anger J function
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AppellF1,
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- Appell's doubly hypergeometric F functions
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AppellF2,
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AppellF3,
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AppellF4
|
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argument
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- argument of a complex number
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BellB
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- Bell polynomials
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bernoulli
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- Bernoulli numbers and polynomials
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BesselI
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- modified Bessel function of the first kind
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BesselJ
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- Bessel function of the first kind
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BesselJZeros
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- non-negative real zeros of Bessel J
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BesselK
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- modified Bessel function of the second kind
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BesselY
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- Bessel function of the second kind
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BesselYZeros
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- positive real zeros of Bessel Y
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Beta
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- Beta function
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binomial
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- binomial coefficients
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ceil
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- smallest integer greater than or equal to a number
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ChebyshevT
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- Chebyshev function of the first kind
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ChebyshevU
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- Chebyshev function of the second kind
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Chi
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- hyperbolic cosine integral
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Ci
|
- cosine integral
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CompleteBellB
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- complete Bell polynomials
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conjugate
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- conjugate of a complex number or expression
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csgn
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- complex "half-plane" signum function
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CoulombF
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- regular Coulomb wave function
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CylinderD
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- Whittaker's parabolic function
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CylinderU,
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- Parabolic cylinder functions
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CylinderV
|
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dawson
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- Dawson's integral
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dilog
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- dilogarithm function
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Dirac
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- Dirac delta function
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doublefactorial
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- double factorial function
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Ei
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- exponential integrals
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EllipticCE
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- complementary complete elliptic integral of the second kind
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EllipticCK
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- complementary complete elliptic integral of the first kind
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EllipticCPi
|
- complementary complete elliptic integral of the third kind
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EllipticE
|
- incomplete or complete elliptic integral of the second kind
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EllipticF
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- incomplete elliptic integral of the first kind
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EllipticK
|
- complete elliptic integral of the first kind
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EllipticModulus
|
- Modulus elliptic function
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EllipticNome
|
- Nome elliptic function
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EllipticPi
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- incomplete or complete elliptic integral of the third kind
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erf
|
- error function
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erfc
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- complementary error function and its iterated integrals
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erfi
|
- imaginary error function
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euler
|
- Euler numbers and polynomials
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exp
|
- exponential function
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factorial
|
- factorial function
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floor
|
- greatest integer less than or equal to a number
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frac
|
- fractional part of a number
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FresnelC
|
- Fresnel cosine integral
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Fresnelf
|
- Fresnel f auxiliary function
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Fresnelg
|
- Fresnel g auxiliary function
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FresnelS
|
- Fresnel sine integral
|
GAMMA
|
- Gamma and incomplete Gamma functions
|
GaussAGM
|
- Gauss arithmetic geometric mean
|
GegenbauerC
|
- Gegenbauer (ultraspherical) function
|
GeneralizedPolylog
|
- generalized polylogarithmic function
|
HankelH1,
|
- Hankel functions (Bessel functions of the third kind)
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HankelH2
|
|
harmonic
|
- partial sum of the harmonic series
|
Heaviside
|
- Heaviside step function
|
HermiteH
|
- Hermite function
|
HeunB,
|
- Heun functions
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HeunC,
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HeunD,
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HeunG,
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HeunT
|
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HeunBPrime,
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- derivatives of Heun functions
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HeunCPrime,
|
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HeunDPrime,
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HeunGPrime,
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HeunTPrime
|
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hypergeom
|
- generalized hypergeometric function
|
ilog2,
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- integer logarithms
|
ilog10,
|
|
ilog
|
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Im
|
- imaginary part of a complex number
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IncompleteBellB
|
- incomplete Bell polynomials
|
InverseJacobiAM
|
- inverse Jacobi amplitude function
|
InverseJacobiCD,
|
- inverse Jacobi elliptic functions
|
InverseJacobiCN,
|
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InverseJacobiCS,
|
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InverseJacobiDC,
|
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InverseJacobiDN,
|
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InverseJacobiDS,
|
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InverseJacobiNC,
|
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InverseJacobiND,
|
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InverseJacobiNS,
|
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InverseJacobiSC,
|
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InverseJacobiSD,
|
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InverseJacobiSN
|
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JacobiP
|
- Jacobi function
|
JacobiAM
|
- Jacobi amplitude function
|
JacobiCD,
|
- Jacobi elliptic functions
|
JacobiCN,
|
|
JacobiCS,
|
|
JacobiDC,
|
|
JacobiDN,
|
|
JacobiDS,
|
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JacobiNC,
|
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JacobiND,
|
|
JacobiNS,
|
|
JacobiSC,
|
|
JacobiSD,
|
|
JacobiSN
|
|
JacobiTheta1,
|
- Jacobi theta functions
|
JacobiTheta2,
|
|
JacobiTheta3,
|
|
JacobiTheta4
|
|
JacobiZeta
|
- Jacobi Zeta function
|
KelvinBei,
|
- Kelvin functions
|
KelvinBer,
|
|
KelvinHei,
|
|
KelvinHer,
|
|
KelvinKei,
|
|
KelvinKer
|
|
KummerM,
|
- Kummer functions
|
KummerU
|
|
LaguerreL
|
- Laguerre function
|
LambertW
|
- Lambert W function
|
LegendreP
|
- associated Legendre function of the first kind
|
LegendreQ
|
- associated Legendre function of the second kind
|
LerchPhi
|
- Lerch's Phi function
|
Li
|
- logarithmic integral
|
ln
|
- natural logarithm (logarithm with base = 2.71...)
|
lnGAMMA
|
- log-Gamma function
|
log
|
- logarithm to arbitrary base
|
log10
|
- log to the base 10
|
log2
|
- log to the base 2
|
LommelS1
|
- Lommel function s
|
LommelS2
|
- Lommel function S
|
MathieuA
|
- Mathieu characteristic function
|
MathieuB
|
- Mathieu characteristic function
|
MathieuC
|
- even general Mathieu function
|
MathieuCPrime
|
- first derivative of MathieuC
|
MathieuCE
|
- even -periodic Mathieu function
|
MathieuCEPrime
|
- first derivative of MathieuCE
|
MathieuExponent
|
- Mathieu characteristic exponent
|
MathieuFloquet
|
- Floquet solution of Mathieu's equation
|
MathieuFloquetPrime
|
- first derivative of MathieuFloquet
|
MathieuS
|
- odd general Mathieu function
|
MathieuSPrime
|
- first derivative of MathieuS
|
MathieuSE
|
- odd -periodic Mathieu function
|
MathieuSEPrime
|
- first derivative of MathieuSE
|
MeijerG
|
- MeijerG function
|
max
|
- maximum of a sequence of real values
|
min
|
- minimum of a sequence of real values
|
MultiPolylog
|
- multiple polylogarithmic function
|
MultiZeta
|
- multiple zeta function
|
pochhammer
|
- pochhammer symbol
|
polar
|
- polar representation of complex numbers
|
polylog
|
- polylogarithm function
|
Psi
|
- polygamma function
|
Re
|
- real part of a complex number
|
RiemannTheta
|
- Riemann theta function
|
round
|
- nearest integer to a number
|
signum
|
- sign of a real or complex number
|
Shi
|
- hyperbolic sine integral
|
Si
|
- sine integral
|
SphericalY
|
- spherical harmonic function
|
sqrt
|
- square root
|
Ssi
|
- shifted sine integral
|
Stirling1
|
- Stirling number of the first kind
|
Stirling2
|
- Stirling number of the second kind
|
StruveH
|
- Struve function
|
StruveL
|
- modified Struve function
|
surd
|
- non-principal root function
|
trunc
|
- nearest integer to a number in the direction of 0
|
unwindK
|
- unwinding number
|
WeberE
|
- Weber E function
|
WeierstrassP
|
- Weierstrass P-function
|
WeierstrassPPrime
|
- Derivative of Weierstrass P-function
|
WeierstrassSigma
|
- Weierstrass sigma-function
|
WeierstrassZeta
|
- Weierstrass zeta-function
|
WhittakerM,
|
- Whittaker functions
|
WhittakerW
|
|
Wrightomega
|
- Wright omega function
|
Zeta
|
- Riemann and Hurwitz zeta functions
|