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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/07.27.03.1027.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {1/2, 7/2}, z] == (1225 Sqrt[-z] (350 Pi^2 - 1575 Pi^2 z + 504 Pi^2 z^2 - 8 Pi^2 z^3))/ 1572864 + (1/(1207959552 z^2)) (Sqrt[1 - z] (-5145 + 367010 z + 1161898768 z^2 - 21777544032 z^3 + 17606914240 z^4 - 743337856 z^5)) - (1/(402653184 (-z)^(5/2))) (35 (-49 + 3528 z - 441000 z^2 + 31360000 z^3 + 105840000 z^4 - 104315904 z^5 + 3283968 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (1225 Sqrt[-z] (350 - 1575 z + 504 z^2 - 8 z^3) Log[Sqrt[1 - z] + Sqrt[-z]]^ 2)/262144 + (1225 Sqrt[-z] (350 - 1575 z + 504 z^2 - 8 z^3) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/131072 + (1225 Sqrt[-z] (350 - 1575 z + 504 z^2 - 8 z^3) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/131072 - (1225 Sqrt[-z] (350 - 1575 z + 504 z^2 - 8 z^3) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/131072










Standard Form





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MathML Form







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</semantics> </math>










Rule Form





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





2007-05-02