WhittakerW

可用

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

形式

WhittakerW[k, m, z]

验证过的示例WhittakerW[2, 3, 4.5] → 11.306294801893104 Plot[WhittakerW[2, 1 / 2, x], {x, 0, 15}] → -Graphics-Series[WhittakerW[2, 1 / 2, x], {x, 0, 6}] → SeriesData[x, 0, {Derivative[0, 0, 1][WhittakerW][2, 1/2, 0], Derivative[0, 0, 2][WhittakerW][2, 1/2, 0]/2, Derivative[0, 0, 3][WhittakerW][2, 1/2, 0]/6, Derivative[0, 0, 4][WhittakerW][2, 1/2, 0]/24, Derivative[0, 0, 5][WhittakerW][2, 1/2, 0]/120, Derivative[0, 0, 6][WhittakerW][2, 1/2, 0]/720}, 1, 7, 1]

在 Qurak 上运行搜索参考

主题

Hypergeometric Functions - Confluent Hypergeometric Functions
New In60 Alphabetical Listing - W
New In60 Mathematical Functions - New Hypergeometric-Related Functions

相关

WhittakerM ParabolicCylinderD HypergeometricU Hypergeometric1F1 CoulombH1 CoulombH2 Hypergeometric0F1 Wedge WeibullDistribution

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