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variants of this functions
LegendreP




Mathematica Notation

Traditional Notation









Polynomials > LegendreP[n,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/05.03.20.0005.02









  


  








Input Form





D[LegendreP[n, z], {z, m}] == (Gamma[1 + m + n]/(2^m (m! Gamma[1 - m + n]))) Hypergeometric2F1[m - n, 1 + m + n, 1 + m, (1 - z)/2] /; 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