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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=-3/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=1





http://functions.wolfram.com/07.27.03.1193.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {1, 3}, z] == (1/(12006225 Pi^2 z^2)) (64 (140 - 14805 z + 14448019 z^2 - 39587144 z^3 + 1802250 z^4 + 32783 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(12006225 Pi^2 z^2)) (64 (-140 + 14805 z - 14448019 z^2 + 39587144 z^3 - 1802250 z^4 - 32783 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(12006225 Pi^2 z^2)) (64 Sqrt[1 - z] (-140 + 14770 z - 8537709 z^2 + 18886328 z^3 - 462178 z^4 - 6930 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(12006225 Pi^2 z^2)) (32 Sqrt[1 - z] (140 - 14770 z + 8537709 z^2 - 18886328 z^3 + 462178 z^4 + 6930 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(12006225 Pi^2 z^2)) (32 (140 - 14840 z + 10045859 z^2 - 31057010 z^3 + 7583111 z^4 + 18124 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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type='integer'> 140 </cn> </apply> <apply> <power /> <apply> <ci> EllipticK </ci> <apply> <plus /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 12006225 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 32 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 18124 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> 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type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 12006225 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 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