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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/07.09.20.0012.02









  


  










Input Form





D[LegendreP[\[Nu], \[Mu], 3, z], {z, m}] == ((z + 1)^(\[Mu]/2)/(z - 1)^(\[Mu]/2 + m)) Gamma[1 + \[Mu]/2] Sum[Binomial[m, j] Hypergeometric2F1Regularized[-j, \[Mu]/2, 1 - j + \[Mu]/2, (z + 1)/(z - 1)] HypergeometricPFQRegularized[ {1, -\[Nu], 1 + \[Nu]}, {1 - m + j, 1 - \[Mu]}, (1 - z)/2] ((z - 1)/(z + 1))^j, {j, 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)





2001-10-29





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