Mathematical Functions
TopicOverview »
The Wolfram Language has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over the past two decades, each function supports a full range of symbolic operations, as well as efficient numerical evaluation to arbitrary precision, for all complex values of parameters.
Mathematical Constants »
Pi(π) ▪ E() ▪ Degree(°) ▪ EulerGamma ▪ ...
Complex Numbers »
I() ▪ Re ▪ Im ▪ Conjugate ▪ Abs ▪ Arg ▪ ...
Arithmetic Functions »
Plus(+) ▪ Times(×) ▪ Power(^) ▪ Sqrt ▪ Total ▪ ...
Numerical Functions »
Abs ▪ Round ▪ Floor ▪ Min ▪ Max ▪ Clip ▪ Ramp ▪ Rescale ▪ SquareWave ▪ ...
Elementary Functions »
Log ▪ Log10 ▪ Exp ▪ Sqrt ▪ Sin ▪ Cos ▪ Tan ▪ ArcTan ▪ Tanh ▪ Sinc ▪ ...
Special Functions »
Gamma ▪ Erf ▪ BesselJ ▪ BesselK ▪ AiryAi ▪ EllipticK ▪ LegendreP ▪ ChebyshevT ▪ HermiteH ▪ LaguerreL ▪ SpheroidalS1 ▪ JacobiSN ▪ WeierstrassP ▪ Zeta ▪ PolyLog ▪ EllipticTheta ▪ Hypergeometric2F1 ▪ HypergeometricPFQ ▪ MeijerG ▪ FoxH ▪ AppellF1 ▪ ...
Generalized Functions »
DiracDelta ▪ HeavisideTheta ▪ DiracComb ▪ ...
Integer Functions »
Mod ▪ Quotient ▪ Divisible ▪ GCD ▪ Factorial(!) ▪ Binomial ▪ Fibonacci ▪ BernoulliB ▪ StirlingS1 ▪ IntegerDigits ▪ DigitCount ▪ BitAnd ▪ ...
Number Theoretic Functions »
FactorInteger ▪ Prime ▪ PrimePi ▪ EulerPhi ▪ MoebiusMu ▪ DivisorSigma ▪ JacobiSymbol ▪ MultiplicativeOrder ▪ PartitionsP ▪ SquaresR ▪ DirichletL ▪ ...
Properties of Functions »
FunctionInjective ▪ FunctionSign ▪ FunctionSingularities ▪ ...
Statistical Distributions »
NormalDistribution ▪ ChiSquareDistribution ▪ PoissonDistribution ▪ ...
Random Numbers »
RandomInteger ▪ RandomReal ▪ RandomChoice ▪ RandomPrime
Signals-Oriented Functions »
SquareWave ▪ TriangleWave ▪ UnitBox ▪ ...
Fractal-Related Functions »
MandelbrotSetMemberQ ▪ JuliaSetIterationCount ▪ CantorStaircase ▪ ...
N — numerical evaluation to any precision
FunctionExpand — expand in terms of simpler functions
FullSimplify — apply full symbolic simplification
MathematicalFunctionData — properties and relations of mathematical functions