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





http://functions.wolfram.com/07.27.03.a84z.01









  


  








Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 3/2}, {7/2, 7/2}, z] == (75 (-3 Pi^2 - 50 Pi^2 z))/(524288 (-z)^(5/2)) + (Sqrt[1 - z] (6615 + 52860 z + 375004 z^2 + 206912 z^3 + 16704 z^4))/ (524288 z^2) - (15 (261 + 250 z - 12000 z^2 - 24000 z^3 - 8000 z^4 - 384 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(524288 (-z)^(5/2)) - (225 (-3 - 50 z) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(262144 (-z)^(5/2)) + (225 (-3 - 50 z) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(131072 (-z)^(5/2)) + (225 (-3 - 50 z) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(131072 (-z)^(5/2)) - (225 (-3 - 50 z) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(131072 (-z)^(5/2))








Standard Form





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MathML Form







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</ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 131072 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 75 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -50 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 524288 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> 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type='integer'> -50 </cn> <ci> z </ci> </apply> <cn type='integer'> -3 </cn> </apply> <apply> <ci> PolyLog </ci> <cn type='integer'> 2 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 131072 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </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