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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=3/2, a3>=3/2 > For fixed z and a1=-7/2, a2=3/2, a3=4 > For fixed z and a1=-7/2, a2=3/2, a3=4, b1=7/2





http://functions.wolfram.com/07.27.03.8064.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), 3/2, 4}, {7/2, 7/2}, z] == (10045 - 34755 z + 177941 z^2 - 233121 z^3 + 135520 z^4 - 30030 z^5)/ (262144 z^2) - (35 (-167 + 342 z + 2250 z^2 - 7000 z^3 + 7875 z^4 - 4158 z^5 + 858 z^6) Log[1 - Sqrt[z]])/(524288 z^(5/2)) + (35 (-167 + 342 z + 2250 z^2 - 7000 z^3 + 7875 z^4 - 4158 z^5 + 858 z^6) Log[1 + Sqrt[z]])/(524288 z^(5/2)) - (525 (-1 + 6 z) PolyLog[2, -Sqrt[z]])/(65536 z^(5/2)) + (525 (-1 + 6 z) PolyLog[2, Sqrt[z]])/(65536 z^(5/2))










Standard Form





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MathML Form







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type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 7875 </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'> 7000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2250 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 342 </cn> <ci> z </ci> </apply> <cn type='integer'> -167 </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'> 524288 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 35 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 858 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 4158 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 7875 </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'> 7000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2250 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 342 </cn> <ci> z </ci> </apply> <cn type='integer'> -167 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <power /> <ci> z 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Rule Form





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





2007-05-02