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variants of this functions
LegendreQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LegendreQ[nu,mu,3,z] > Series representations > Generalized power series > Expansions at z==1





http://functions.wolfram.com/07.12.06.0015.01









  


  










Input Form





LegendreQ[-n, \[Mu], 2, z] == (Pi/2) Csc[\[Mu] Pi] E^(Pi I \[Mu]) ((1/Gamma[1 - \[Mu]]) ((z + 1)^(\[Mu]/2)/(z - 1)^(\[Mu]/2)) Sum[((Pochhammer[n, k] Pochhammer[1 - n, k])/(Pochhammer[1 - \[Mu], k] k!)) ((1 - z)/2)^k, {k, 0, n - 1}] - (Pochhammer[1 - \[Mu] - n, 2 \[Mu]]/Gamma[1 + \[Mu]]) ((z - 1)^(\[Mu]/2)/(z + 1)^(\[Mu]/2)) Sum[((Pochhammer[n, k] Pochhammer[1 - n, k])/(Pochhammer[1 + \[Mu], k] k!)) ((1 - z)/2)^k, {k, 0, n - 1}]) /; Element[n, Integers] && n > 0 && !Element[\[Mu], Integers]










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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