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





http://functions.wolfram.com/07.27.03.1772.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 2}, {7/2, 7/2}, z] == (137445 + 715155 z + 16750662 z^2 + 24763914 z^3 + 8047025 z^4 + 441735 z^5)/ (25165824 z^2) + (245 (127 + 204 z - 7125 z^2 - 8000 z^3 + 8625 z^4 + 5748 z^5 + 421 z^6) Log[1 - Sqrt[z]])/(16777216 z^(5/2)) - (245 (127 + 204 z - 7125 z^2 - 8000 z^3 + 8625 z^4 + 5748 z^5 + 421 z^6) Log[1 + Sqrt[z]])/(16777216 z^(5/2)) - (3675 (-1 - 12 z + 75 z^2 + 400 z^3 + 375 z^4 + 84 z^5 + 3 z^6) PolyLog[2, -Sqrt[z]])/(4194304 z^(5/2)) + (3675 (-1 - 12 z + 75 z^2 + 400 z^3 + 375 z^4 + 84 z^5 + 3 z^6) PolyLog[2, Sqrt[z]])/(4194304 z^(5/2))










Standard Form





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MathML Form







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type='integer'> 8625 </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'> 8000 </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'> 7125 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 204 </cn> <ci> z </ci> </apply> <cn type='integer'> 127 </cn> </apply> <apply> <ln /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 16777216 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> 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type='integer'> 375 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 75 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> <apply> <ci> PolyLog </ci> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 4194304 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </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