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





http://functions.wolfram.com/07.27.03.2015.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3}, {5/2, 7/2}, z] == (-3675 + 244265 z + 31530785 z^2 + 98468979 z^3 + 54815320 z^4 + 4605510 z^5)/(41943040 z^2) + (147 (-5 + 214 z - 9750 z^2 - 42000 z^3 + 12125 z^4 + 35130 z^5 + 4286 z^6) Log[1 - Sqrt[z]])/(16777216 z^(5/2)) - (147 (-5 + 214 z - 9750 z^2 - 42000 z^3 + 12125 z^4 + 35130 z^5 + 4286 z^6) Log[1 + Sqrt[z]])/(16777216 z^(5/2)) - (2205 (-2 + 75 z + 1000 z^2 + 1750 z^3 + 630 z^4 + 33 z^5) PolyLog[2, -Sqrt[z]])/(4194304 z^(3/2)) + (2205 (-2 + 75 z + 1000 z^2 + 1750 z^3 + 630 z^4 + 33 z^5) PolyLog[2, Sqrt[z]])/(4194304 z^(3/2))










Standard Form





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MathML Form







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</apply> </apply> <apply> <times /> <cn type='integer'> 31530785 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 244265 </cn> <ci> z </ci> </apply> <cn type='integer'> -3675 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 41943040 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 147 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 4286 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 35130 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 12125 </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'> 42000 </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'> 9750 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 214 </cn> <ci> z </ci> </apply> <cn type='integer'> -5 </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> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 147 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 4286 </cn> <apply> <power /> <ci> z </ci> <cn 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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'> 3 <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