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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=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-5/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=5/2





http://functions.wolfram.com/07.27.03.1114.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(5/2)}, {5/2, 7/2}, z] == (3675 (-Pi^2 - 100 Pi^2 z + 1600 Pi^2 z^2 - 1600 Pi^2 z^3 + 128 Pi^2 z^4))/ (67108864 (-z)^(3/2)) + (1/(268435456 z^2)) (Sqrt[1 - z] (-735 - 498820 z + 219612444 z^2 - 577212096 z^3 + 109919200 z^4 - 434688 z^5)) - (1/(268435456 (-z)^(5/2))) (105 (-7 - 3066 z - 294000 z^2 - 224000 z^3 + 3472000 z^4 - 584192 z^5 + 1024 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (11025 (-1 - 100 z + 1600 z^2 - 1600 z^3 + 128 z^4) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(33554432 (-z)^(3/2)) + (1/(16777216 (-z)^(3/2))) (11025 (-1 - 100 z + 1600 z^2 - 1600 z^3 + 128 z^4) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) + (11025 (-1 - 100 z + 1600 z^2 - 1600 z^3 + 128 z^4) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(16777216 (-z)^(3/2)) - (11025 (-1 - 100 z + 1600 z^2 - 1600 z^3 + 128 z^4) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(16777216 (-z)^(3/2))










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