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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=3/2





http://functions.wolfram.com/07.27.03.1996.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3}, {3/2, 5/2}, z] == (1470 + 4379745 z + 32472643 z^2 + 32691085 z^3 + 4338705 z^4)/(5242880 z) + (147 (2 - 875 z - 13400 z^2 - 7400 z^3 + 17750 z^4 + 3923 z^5) Log[1 - Sqrt[z]])/(2097152 z^(3/2)) - (147 (2 - 875 z - 13400 z^2 - 7400 z^3 + 17750 z^4 + 3923 z^5) Log[1 + Sqrt[z]])/(2097152 z^(3/2)) - (2205 (5 + 200 z + 700 z^2 + 420 z^3 + 33 z^4) PolyLog[2, -Sqrt[z]])/ (524288 Sqrt[z]) + (2205 (5 + 200 z + 700 z^2 + 420 z^3 + 33 z^4) PolyLog[2, Sqrt[z]])/(524288 Sqrt[z])










Standard Form





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MathML Form







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type='integer'> 3923 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 17750 </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'> 7400 </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'> 13400 </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'> 875 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2097152 </cn> <apply> <power 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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