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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=-5/2, a2>=-5/2 > For fixed z and a1=-5/2, a2=-3/2, a3>=-3/2 > For fixed z and a1=-5/2, a2=-3/2, a3=-3/2 > For fixed z and a1=-5/2, a2=-3/2, a3=-3/2, b1=7/2





http://functions.wolfram.com/07.27.03.a8on.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(3/2), -(3/2)}, {7/2, 7/2}, z] == (Sqrt[1 - z] (-15615 - 549810 z + 23282728 z^2 - 6091696 z^3 + 4608 z^4))/ (33554432 z^2) + (75 (3 Pi^2 + 160 Pi^2 z + 2880 Pi^2 z^2 - 7680 Pi^2 z^3 + 640 Pi^2 z^4))/(16777216 (-z)^(5/2)) - (15 (-681 - 16800 z - 316800 z^2 - 998400 z^3 + 224000 z^4) Log[Sqrt[1 - z] + Sqrt[-z]])/(33554432 (-z)^(5/2)) - (225 (3 + 160 z + 2880 z^2 - 7680 z^3 + 640 z^4) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(8388608 (-z)^(5/2)) + (1/(4194304 (-z)^(5/2))) (225 (3 + 160 z + 2880 z^2 - 7680 z^3 + 640 z^4) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) + (225 (3 + 160 z + 2880 z^2 - 7680 z^3 + 640 z^4) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(4194304 (-z)^(5/2)) - (225 (3 + 160 z + 2880 z^2 - 7680 z^3 + 640 z^4) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(4194304 (-z)^(5/2))










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)





2007-05-02