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Mathematical Functions—Wolfram Language Documentation

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• Functions
  • Abs
  • AiryAi
  • AppellF1
  • ArcTan
  • Arg
  • BernoulliB
  • BesselJ
  • BesselK
  • Binomial
  • BitAnd
  • CantorStaircase
  • ChebyshevT
  • ChiSquareDistribution
  • Clip
  • Conjugate
  • Cos
  • Degree
  • DigitCount
  • DiracComb
  • DiracDelta
  • DirichletL
  • Divisible
  • DivisorSigma
  • E
  • EllipticK
  • EllipticTheta
  • Erf
  • EulerGamma
  • EulerPhi
  • Exp
  • Factorial
  • FactorInteger
  • Fibonacci
  • Floor
  • FoxH
  • FullSimplify
  • FunctionExpand
  • FunctionInjective
  • FunctionSign
  • FunctionSingularities
  • Gamma
  • GCD
  • HeavisideTheta
  • HermiteH
  • Hypergeometric2F1
  • HypergeometricPFQ
  • I
  • Im
  • IntegerDigits
  • JacobiSN
  • JacobiSymbol
  • JuliaSetIterationCount
  • LaguerreL
  • LegendreP
  • Log
  • Log10
  • MandelbrotSetMemberQ
  • MathematicalFunctionData
  • Max
  • MeijerG
  • Min
  • Mod
  • MoebiusMu
  • MultiplicativeOrder
  • N
  • NormalDistribution
  • PartitionsP
  • Pi
  • Plus
  • PoissonDistribution
  • PolyLog
  • Power
  • Prime
  • PrimePi
  • Quotient
  • Ramp
  • RandomChoice
  • RandomInteger
  • RandomPrime
  • RandomReal
  • Re
  • Rescale
  • Round
  • Sin
  • Sinc
  • SpheroidalS1
  • Sqrt
  • SquaresR
  • SquareWave
  • StirlingS1
  • Tan
  • Tanh
  • Times
  • Total
  • TriangleWave
  • UnitBox
  • WeierstrassP
  • Zeta
  • π
• Related Guides
  • Functions for Separable Coordinate Systems
  • Functions Used in Optics
  • Functions Used in Quantum Mechanics
  • Functions Used in Statistics
  • Function Visualization
  • Complex Function Visualization
• Tech Notes
  • Some Mathematical Functions
  • Mathematical Constants
  • Numerical Functions
  • Complex Numbers

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.

Pi(π)  ▪  E()  ▪  Degree(°)  ▪  EulerGamma  ▪  ...

I()  ▪  Re  ▪  Im  ▪  Conjugate  ▪  Abs  ▪  Arg  ▪  ...

Plus(+)  ▪  Times(×)  ▪  Power(^)  ▪  Sqrt  ▪  Total  ▪  ...

Abs  ▪  Round  ▪  Floor  ▪  Min  ▪  Max  ▪  Clip  ▪  Ramp  ▪  Rescale  ▪  SquareWave  ▪  ...

Log  ▪  Log10  ▪  Exp  ▪  Sqrt  ▪  Sin  ▪  Cos  ▪  Tan  ▪  ArcTan  ▪  Tanh  ▪  Sinc  ▪  ...

Gamma  ▪  Erf  ▪  BesselJ  ▪  BesselK  ▪  AiryAi  ▪  EllipticK  ▪  LegendreP  ▪  ChebyshevT  ▪  HermiteH  ▪  LaguerreL  ▪  SpheroidalS1  ▪  JacobiSN  ▪  WeierstrassP  ▪  Zeta  ▪  PolyLog  ▪  EllipticTheta  ▪  Hypergeometric2F1  ▪  HypergeometricPFQ  ▪  MeijerG  ▪  FoxH  ▪  AppellF1  ▪  ...

DiracDelta  ▪  HeavisideTheta  ▪  DiracComb  ▪  ...

Mod  ▪  Quotient  ▪  Divisible  ▪  GCD  ▪  Factorial(!)  ▪  Binomial  ▪  Fibonacci  ▪  BernoulliB  ▪  StirlingS1  ▪  IntegerDigits  ▪  DigitCount  ▪  BitAnd  ▪  ...

FactorInteger  ▪  Prime  ▪  PrimePi  ▪  EulerPhi  ▪  MoebiusMu  ▪  DivisorSigma  ▪  JacobiSymbol  ▪  MultiplicativeOrder  ▪  PartitionsP  ▪  SquaresR  ▪  DirichletL  ▪  ...

FunctionInjective  ▪  FunctionSign  ▪  FunctionSingularities  ▪  ...

NormalDistribution  ▪  ChiSquareDistribution  ▪  PoissonDistribution  ▪  ...

RandomInteger  ▪  RandomReal  ▪  RandomChoice  ▪  RandomPrime

SquareWave  ▪  TriangleWave  ▪  UnitBox  ▪  ...

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

▪
• Some Mathematical Functions
▪
• Mathematical Constants
▪
• Numerical Functions
▪
• Complex Numbers

▪
• Functions for Separable Coordinate Systems
▪
• Functions Used in Optics
▪
• Functions Used in Quantum Mechanics
▪
• Functions Used in Statistics
▪
• Function Visualization
▪
• Complex Function Visualization

• functions.wolfram.com
• Wolfram Community: Mathematics
• Wolfram Core Areas: Calculus & Algebra
• Wolfram Core Areas: Mathematical Functions

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