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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=-5/2





http://functions.wolfram.com/07.27.03.1011.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {-(5/2), 5/2}, z] == -((49 Pi^2 (-z)^(7/2))/1024) - (Sqrt[1 - z] (-30870 - 17752005 z - 102273702 z^2 - 123578456 z^3 - 53499952 z^4))/(19660800 z) + (1/(1310720 (-z)^(3/2))) (7 (294 - 18375 z - 392000 z^2 - 1176000 z^3 - 940800 z^4 - 302976 z^5) Log[Sqrt[1 - z] + Sqrt[-z]]) + (147/512) (-z)^(7/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2 - (147/256) (-z)^(7/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] - (147/256) (-z)^(7/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] + (147/256) (-z)^(7/2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]










Standard Form





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MathML Form







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</apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02