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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=-3/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=5/2





http://functions.wolfram.com/07.27.03.1202.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {5/2, 7/2}, z] == (735 (-Pi^2 - 75 Pi^2 z + 800 Pi^2 z^2 - 400 Pi^2 z^3))/ (8388608 (-z)^(3/2)) + (1/(671088640 z^2)) (Sqrt[1 - z] (-3675 - 1907570 z + 533185000 z^2 - 783618032 z^3 + 30833664 z^4 + 380928 z^5)) + (1/(134217728 (-z)^(5/2))) (21 (35 + 11424 z + 798000 z^2 + 1792000 z^3 - 4816000 z^4 + 107520 z^5 + 1024 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (2205 (-1 - 75 z + 800 z^2 - 400 z^3) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (4194304 (-z)^(3/2)) + (2205 (-1 - 75 z + 800 z^2 - 400 z^3) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (2097152 (-z)^(3/2)) + (2205 (-1 - 75 z + 800 z^2 - 400 z^3) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(2097152 (-z)^(3/2)) - (2205 (-1 - 75 z + 800 z^2 - 400 z^3) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(2097152 (-z)^(3/2))










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02