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variants of this functions
LegendreQ




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.10.06.0009.01









  


  








Input Form





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