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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,2,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/07.11.20.0015.01









  


  










Input Form





D[LegendreQ[\[Nu], \[Mu], 2, z], {z, m}] == Sqrt[Pi] Sum[((-1)^(m - k) (1 - z^2)^((k - m)/2) Binomial[m, k] Pochhammer[-\[Mu] - \[Nu], m - k] HypergeometricPFQRegularized[ {1, -k, \[Mu]/2}, {(1 - k)/2, 1 - k/2}, z^2/(z^2 - 1)] Pochhammer[1 - \[Mu] + \[Nu], m - k] LegendreQ[\[Nu], k - m + \[Mu], 2, z])/z^k, {k, 0, m}] /; Element[m, Integers] && m >= 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





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