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variants of this functions
LegendreP






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreP[nu,mu,3,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/07.09.20.0014.01









  


  










Input Form





D[LegendreP[\[Nu], \[Mu], 3, z], {z, m}] == ((Gamma[1 - \[Mu]/2] Gamma[1 + \[Mu] + \[Nu]])/Gamma[1 - \[Mu] + \[Nu]]) Sum[((2^(2 j - k) Binomial[m, k] k! Gamma[1 - k + m - \[Mu] + \[Nu]])/ ((k - j)! (2 j - k)! Gamma[1 - j - \[Mu]/2] Gamma[1 + k - m + \[Mu] + \[Nu]])) z^(2 j - k) (-1 + z)^((1/2) (-2 j + k - m)) (1 + z)^((1/2) (-2 j + k - m)) LegendreP[\[Nu], k - m + \[Mu], 3, z], {k, 0, m}, {j, 0, k}] /; 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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