Special Functions—Wolfram Documentation (original) (raw)

• Functions
  • AiryAi
  • AiryAiPrime
  • AppellF1
  • BesselI
  • BesselJ
  • BesselJZero
  • BesselK
  • BesselY
  • Beta
  • BilateralHypergeometricPFQ
  • CarlsonRF
  • CarlsonRK
  • ChebyshevT
  • ChebyshevU
  • CoulombF
  • CoulombG
  • CoulombH1
  • CoulombH2
  • DedekindEta
  • Derivative
  • DifferenceRoot
  • DifferentialRoot
  • EllipticE
  • EllipticF
  • EllipticK
  • EllipticPi
  • EllipticTheta
  • Erf
  • Erfc
  • ExpIntegralE
  • ExpIntegralEi
  • FindRoot
  • FoxH
  • FresnelS
  • FullSimplify
  • FunctionExpand
  • Gamma
  • GegenbauerC
  • HankelH1
  • HermiteH
  • HeunB
  • HeunC
  • HeunD
  • HeunG
  • HeunT
  • Hypergeometric2F1
  • HypergeometricPFQ
  • HypergeometricU
  • InverseEllipticNomeQ
  • InverseErf
  • InverseGammaRegularized
  • InverseJacobiSN
  • InverseWeierstrassP
  • JacobiP
  • JacobiSN
  • KelvinBer
  • KleinInvariantJ
  • LaguerreL
  • LegendreP
  • LegendreQ
  • LerchPhi
  • LogGamma
  • LogIntegral
  • MathieuC
  • MathieuCharacteristicA
  • MathieuS
  • MathieuSPrime
  • MeijerG
  • MittagLefflerE
  • ModularLambda
  • N
  • Pochhammer
  • PolyGamma
  • PolyLog
  • ProductLog
  • QFactorial
  • QHypergeometricPFQ
  • QPochhammer
  • RiemannSiegelZ
  • Root
  • SiegelTheta
  • SinIntegral
  • SphericalBesselJ
  • SphericalHarmonicY
  • SpheroidalEigenvalue
  • SpheroidalPS
  • SpheroidalQS
  • SpheroidalS1
  • StruveH
  • WeierstrassP
  • WignerD
  • ZernikeR
  • Zeta
  • ZetaZero
• Related Guides
  • Functions for Separable Coordinate Systems
  • Functions Used in Optics
  • Functions Used in Quantum Mechanics
  • Functions Used in Statistics
• Tech Notes
  • Special Functions
• • Functions
    * AiryAi
    * AiryAiPrime
    * AppellF1
    * BesselI
    * BesselJ
    * BesselJZero
    * BesselK
    * BesselY
    * Beta
    * BilateralHypergeometricPFQ
    * CarlsonRF
    * CarlsonRK
    * ChebyshevT
    * ChebyshevU
    * CoulombF
    * CoulombG
    * CoulombH1
    * CoulombH2
    * DedekindEta
    * Derivative
    * DifferenceRoot
    * DifferentialRoot
    * EllipticE
    * EllipticF
    * EllipticK
    * EllipticPi
    * EllipticTheta
    * Erf
    * Erfc
    * ExpIntegralE
    * ExpIntegralEi
    * FindRoot
    * FoxH
    * FresnelS
    * FullSimplify
    * FunctionExpand
    * Gamma
    * GegenbauerC
    * HankelH1
    * HermiteH
    * HeunB
    * HeunC
    * HeunD
    * HeunG
    * HeunT
    * Hypergeometric2F1
    * HypergeometricPFQ
    * HypergeometricU
    * InverseEllipticNomeQ
    * InverseErf
    * InverseGammaRegularized
    * InverseJacobiSN
    * InverseWeierstrassP
    * JacobiP
    * JacobiSN
    * KelvinBer
    * KleinInvariantJ
    * LaguerreL
    * LegendreP
    * LegendreQ
    * LerchPhi
    * LogGamma
    * LogIntegral
    * MathieuC
    * MathieuCharacteristicA
    * MathieuS
    * MathieuSPrime
    * MeijerG
    * MittagLefflerE
    * ModularLambda
    * N
    * Pochhammer
    * PolyGamma
    * PolyLog
    * ProductLog
    * QFactorial
    * QHypergeometricPFQ
    * QPochhammer
    * RiemannSiegelZ
    * Root
    * SiegelTheta
    * SinIntegral
    * SphericalBesselJ
    * SphericalHarmonicY
    * SpheroidalEigenvalue
    * SpheroidalPS
    * SpheroidalQS
    * SpheroidalS1
    * StruveH
    * WeierstrassP
    * WignerD
    * ZernikeR
    * Zeta
    * ZetaZero
  • Related Guides
    * Functions for Separable Coordinate Systems
    * Functions Used in Optics
    * Functions Used in Quantum Mechanics
    * Functions Used in Statistics
  • Tech Notes
    * Special Functions