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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=-1/2





http://functions.wolfram.com/07.27.03.1020.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {-(1/2), 1/2}, z] == -((1225 (105 Pi^2 (-z)^(3/2) + 168 Pi^2 (-z)^(5/2) + 8 Pi^2 (-z)^(7/2)))/ 4096) + (Sqrt[1 - z] (12288 + 1984911 z - 14419571 z^2 + 2293022 z^3))/ 12288 + (1/4096) (35 (-1225 Sqrt[-z] - 18375 (-z)^(3/2) + 90552 (-z)^(5/2) + 11232 (-z)^(7/2)) Log[Sqrt[1 - z] + Sqrt[-z]]) + (3675 (105 (-z)^(3/2) + 168 (-z)^(5/2) + 8 (-z)^(7/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/2048 - (1/1024) (3675 (105 (-z)^(3/2) + 168 (-z)^(5/2) + 8 (-z)^(7/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) - (3675 (105 (-z)^(3/2) + 168 (-z)^(5/2) + 8 (-z)^(7/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/1024 + (3675 (105 (-z)^(3/2) + 168 (-z)^(5/2) + 8 (-z)^(7/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/1024










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