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WhittakerM




Mathematica Notation

Traditional Notation









Hypergeometric Functions > WhittakerM[nu,mu,z] > Differentiation > Symbolic differentiation > With respect to nu





http://functions.wolfram.com/07.44.20.0009.01









  


  








Input Form





Derivative[n, 0, 0][WhittakerM][\[Nu], \[Mu], z] == z^(\[Mu] + 1/2) Sum[Sum[(((-1)^(k - j) 2^(-k + j))/(k - j)!) (1/(Pochhammer[2 \[Mu] + 1, j] j!)) D[Pochhammer[\[Mu] - \[Nu] + 1/2, j], {\[Nu], n}], {j, 0, k}] z^k, {k, 0, Infinity}] /; Element[n, Integers] && n >= 0








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