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





http://functions.wolfram.com/07.27.03.2358.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(5/2), -(5/2)}, {5/2, 7/2}, z] == (525 (-5 Pi^2 - 400 Pi^2 z + 4800 Pi^2 z^2 - 3200 Pi^2 z^3 + 128 Pi^2 z^4))/ (33554432 (-z)^(3/2)) + (Sqrt[1 - z] (-315 - 171885 z + 53771246 z^2 - 97202152 z^3 + 10053776 z^4 - 3840 z^5))/(67108864 z^2) - (105 (-3 - 1035 z - 78000 z^2 - 144000 z^3 + 592000 z^4 - 49408 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(67108864 (-z)^(5/2)) - (1575 (-5 - 400 z + 4800 z^2 - 3200 z^3 + 128 z^4) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(16777216 (-z)^(3/2)) + (1/(8388608 (-z)^(3/2))) (1575 (-5 - 400 z + 4800 z^2 - 3200 z^3 + 128 z^4) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) + (1575 (-5 - 400 z + 4800 z^2 - 3200 z^3 + 128 z^4) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(8388608 (-z)^(3/2)) - (1575 (-5 - 400 z + 4800 z^2 - 3200 z^3 + 128 z^4) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(8388608 (-z)^(3/2))










Standard Form





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MathML Form







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<cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 105 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -49408 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 592000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 144000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 78000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1035 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -3 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn 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Date Added to functions.wolfram.com (modification date)





2007-05-02