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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=4 > For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=1/2





http://functions.wolfram.com/07.27.03.2236.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 4}, {1/2, 7/2}, z] == (-735 - 13475 z + 18042936 z^2 + 368120928 z^3 + 594960695 z^4 + 108319155 z^5)/(18874368 z^2) + (1/(12582912 z^(5/2))) (245 (-1 - 18 z - 1125 z^2 - 133800 z^3 - 233775 z^4 + 272826 z^5 + 95893 z^6) Log[1 - Sqrt[z]]) - (1/(12582912 z^(5/2))) (245 (-1 - 18 z - 1125 z^2 - 133800 z^3 - 233775 z^4 + 272826 z^5 + 95893 z^6) Log[1 + Sqrt[z]]) - (1225 Sqrt[z] (700 + 4725 z + 4158 z^2 + 429 z^3) PolyLog[2, -Sqrt[z]])/ 524288 + (1225 Sqrt[z] (700 + 4725 z + 4158 z^2 + 429 z^3) PolyLog[2, Sqrt[z]])/524288










Standard Form





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MathML Form







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type='integer'> 245 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 95893 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 272826 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 233775 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 133800 </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'> 1125 </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'> 18 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -1 </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'> 12582912 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 245 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 95893 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 272826 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 233775 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times 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Rule Form





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





2007-05-02