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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=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=3/2





http://functions.wolfram.com/07.27.03.1032.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {3/2, 3/2}, z] == (Sqrt[1 - z] (138261069 - 2118453322 z + 1884365832 z^2 - 90414704 z^3))/ 150994944 + (1225 (35 Pi^2 - 4480 Pi^2 z + 20160 Pi^2 z^2 - 7168 Pi^2 z^3 + 128 Pi^2 z^4))/(25165824 Sqrt[-z]) - (1/(50331648 Sqrt[-z])) (35 (-91875 + 2822400 z + 9878400 z^2 - 11239424 z^3 + 404224 z^4) Log[Sqrt[1 - z] + Sqrt[-z]]) - (1225 (35 - 4480 z + 20160 z^2 - 7168 z^3 + 128 z^4) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(4194304 Sqrt[-z]) + (1/(2097152 Sqrt[-z])) (1225 (35 - 4480 z + 20160 z^2 - 7168 z^3 + 128 z^4) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) + (1225 (35 - 4480 z + 20160 z^2 - 7168 z^3 + 128 z^4) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(2097152 Sqrt[-z]) - (1225 (35 - 4480 z + 20160 z^2 - 7168 z^3 + 128 z^4) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(2097152 Sqrt[-z])










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