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





http://functions.wolfram.com/07.27.03.2057.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 7/2}, {-(5/2), 2}, -z] == (4 (245 + 20155 z + 127998 z^2 + 323488 z^3 + 722048 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(14175 Pi z) + (1/(14175 Pi z)) (4 Sqrt[1 + z] (245 + 20155 z + 127998 z^2 + 323488 z^3 + 722048 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (16 (3605 + 36320 z + 134907 z^2 + 301936 z^3 + 199744 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(14175 Pi z) - (1/(14175 Pi z)) (8 Sqrt[1 + z] (-6965 - 52485 z - 141816 z^2 - 280384 z^3 + 322560 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])










Standard Form





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MathML Form







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<apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 14175 </cn> <pi /> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </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