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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Specific values > Specialized values > For fixed z and integer parameters





http://functions.wolfram.com/07.28.03.0078.01









  


  










Input Form





HypergeometricPFQ[{-n, -n, -n, 1/2 - n}, {1/2, -2 n, 1/2 - 2 n}, z] == (((2 n)! n!^2 2^(2 n) z^n)/(4 n)!) LegendreP[2 n, (Sqrt[1 - z] + 1)/Sqrt[-z]] LegendreP[2 n, (Sqrt[1 - z] - 1)/Sqrt[-z]] /; 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





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