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sin ,

cos ,

tan ,

sec ,

csc ,

cot ,

sinh ,

cosh ,

tanh ,

sech ,

csch ,

coth

arcsin ,

arccos ,

arctan ,

arcsec ,

arccsc ,

arccot ,

arcsinh ,

arccosh ,

arctanh ,

arcsech ,

arccsch ,

arccoth

abs

- absolute value of real or complex number

AiryAi ,

- Airy wave functions and their negative real zeros

AiryAiZeros ,

AiryBi ,

AiryBiZeros

AngerJ

- Anger J function

AppellF1 ,

- Appell's doubly hypergeometric F functions

AppellF2 ,

AppellF3 ,

AppellF4

argument

- argument of a complex number

BellB

- Bell polynomials

bernoulli

- Bernoulli numbers and polynomials

BesselI

- modified Bessel function of the first kind

BesselJ

- Bessel function of the first kind

BesselJZeros

- non-negative real zeros of Bessel J

BesselK

- modified Bessel function of the second kind

BesselY

- Bessel function of the second kind

BesselYZeros

- positive real zeros of Bessel Y

Beta

- Beta function

binomial

- binomial coefficients

ceil

- smallest integer greater than or equal to a number

Ceil

- smallest integer multiple greater than or equal to a given number

ChebyshevT

- Chebyshev function of the first kind

ChebyshevU

- Chebyshev function of the second kind

Chi

- hyperbolic cosine integral

Ci

- cosine integral

CompleteBellB

- complete Bell polynomials

conjugate

- conjugate of a complex number or expression

csgn

- complex "half-plane" signum function

CoulombF

- regular Coulomb wave function

CylinderD

- Whittaker's parabolic function

CylinderU ,

- Parabolic cylinder functions

CylinderV

dawson

- Dawson's integral

dilog

- dilogarithm function

Dirac

- Dirac delta function

doublefactorial

- double factorial function

Ei

- exponential integrals

EllipticCE

- complementary complete elliptic integral of the second kind

EllipticCK

- complementary complete elliptic integral of the first kind

EllipticCPi

- complementary complete elliptic integral of the third kind

EllipticE

- incomplete or complete elliptic integral of the second kind

EllipticF

- incomplete elliptic integral of the first kind

EllipticK

- complete elliptic integral of the first kind

EllipticModulus

- Modulus elliptic function

EllipticNome

- Nome elliptic function

EllipticPi

- incomplete or complete elliptic integral of the third kind

erf

- error function

erfc

- complementary error function and its iterated integrals

erfi

- imaginary error function

euler

- Euler numbers and polynomials

exp

- exponential function

factorial

- factorial function

floor

- greatest integer less than or equal to a number

Floor

- greatest integer multiple less than or equal to a given number

frac

- fractional part of a number

FresnelC

- Fresnel cosine integral

Fresnelf

- Fresnel f auxiliary function

Fresnelg

- Fresnel g auxiliary function

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)

HankelH2

harmonic

- partial sum of the harmonic series

Heaviside

- Heaviside step function

HermiteH

- Hermite function

HeunB ,

- Heun functions

HeunC ,

HeunD ,

HeunG ,

HeunT

HeunBPrime ,

- derivatives of Heun functions

HeunCPrime ,

HeunDPrime ,

HeunGPrime ,

HeunTPrime

hypergeom

- generalized hypergeometric function

IdentifySequence

- identify an integer sequence

ilog2 ,

- integer logarithms

ilog10 ,

ilog

Im

- imaginary part of a complex number

IncompleteBellB

- incomplete Bell polynomials

InverseJacobiAM

- inverse Jacobi amplitude function

InverseJacobiCD ,

- inverse Jacobi elliptic functions

InverseJacobiCN ,

InverseJacobiCS ,

InverseJacobiDC ,

InverseJacobiDN ,

InverseJacobiDS ,

InverseJacobiNC ,

InverseJacobiND ,

InverseJacobiNS ,

InverseJacobiSC ,

InverseJacobiSD ,

InverseJacobiSN

JacobiP

- Jacobi function

JacobiAM

- Jacobi amplitude function

JacobiCD ,

- Jacobi elliptic functions

JacobiCN ,

JacobiCS ,

JacobiDC ,

JacobiDN ,

JacobiDS ,

JacobiNC ,

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 $\ⅇ$ = 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 $2\mathrm{\pi }$-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 $2\mathrm{\pi }$-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

Round

- nearest integer multiple to a given 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

Trunc

- next nearest integer multiple to a given number

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