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variants of this functions
LegendreQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,2,z] > Series representations > Generalized power series > Expansions at z==-1





http://functions.wolfram.com/07.11.06.0027.01









  


  








Input Form





LegendreQ[n, 0, 2, z] == (-1)^n ((1/2) (Log[1 + z] - Log[1 - z]) + PolyGamma[n + 1]) Hypergeometric2F1[-n, n + 1, 1, (z + 1)/2] - (-1)^n Sum[(((n + k)! PolyGamma[k + 1])/(k!^2 (n - k)!)) (-((z + 1)/2))^k, {k, 0, n}] /; 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)





2001-10-29