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WhittakerM




Mathematica Notation

Traditional Notation









Hypergeometric Functions > WhittakerM[nu,mu,z] > Differentiation > Low-order differentiation > With respect to mu





http://functions.wolfram.com/07.44.20.0004.01









  


  








Input Form





Derivative[0, 1, 0][WhittakerM][\[Nu], \[Mu], z] == Log[z] WhittakerM[\[Nu], \[Mu], z] + (z^(1/2 + \[Mu]) ((-((z (1 + 2 \[Mu] - 2 \[Nu]))/(1 + 2 \[Mu])^2)) HypergeometricPFQ[{{3/2 + \[Mu] - \[Nu]}, {1}, {1, 1 + 2 \[Mu]}}, {{2, 2 + 2 \[Mu]}, {}, {2 + 2 \[Mu]}}, z, z] + (z/(1 + 2 \[Mu])) HypergeometricPFQ[{{3/2 + \[Mu] - \[Nu]}, {1}, {1, 1/2 + \[Mu] - \[Nu]}}, {{2, 2 + 2 \[Mu]}, {}, {3/2 + \[Mu] - \[Nu]}}, z, z]))/E^(z/2)








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02