WhittakerM

可用

Whittaker M function E^(-z/2) z^(m+1/2) Hypergeometric1F1[m-k+1/2 2m+1 z]

形式

WhittakerM[k, m, z]

已驗證的範例WhittakerM[2, 3, 4.5] → 68.96703443494357 Plot[WhittakerM[2, 1 / 2, x], {x, 0, 15}] → -Graphics-Series[WhittakerM[2, 1 / 2, x], {x, 0, 6}] → SeriesData[x, 0, {Derivative[0, 0, 1][WhittakerM][2, 1/2, 0], Derivative[0, 0, 2][WhittakerM][2, 1/2, 0]/2, Derivative[0, 0, 3][WhittakerM][2, 1/2, 0]/6, Derivative[0, 0, 4][WhittakerM][2, 1/2, 0]/24, Derivative[0, 0, 5][WhittakerM][2, 1/2, 0]/120, Derivative[0, 0, 6][WhittakerM][2, 1/2, 0]/720}, 1, 7, 1]

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主題

Functions Used In Quantum Mechanics - Hydrogen Atom
Hypergeometric Functions - Confluent Hypergeometric Functions
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New In60 Mathematical Functions - New Hypergeometric-Related Functions
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相關

WhittakerW Hypergeometric1F1 HypergeometricU CoulombF ParabolicCylinderD AiryAiZero BesselJZero HankelH1 Hypergeometric0F1 KelvinKer LaguerreL SphericalBesselJ

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