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Mathematical Functions

Mathematical Functions

Topic Overview

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

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