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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=5/2 > For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=1/2





http://functions.wolfram.com/07.27.03.1860.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {1/2, 2}, -z] == (4 (35 + 17791 z - 309429 z^2 + 470821 z^3 - 81610 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(8505 Pi z) + (4 Sqrt[1 + z] (35 + 17791 z - 309429 z^2 + 470821 z^3 - 81610 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(8505 Pi z) + (1/(8505 Pi z)) (8 Sqrt[1 + z] (4235 - 138063 z + 439473 z^2 - 272645 z^3 + 25200 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (16 (-2135 + 60136 z - 65022 z^2 - 99088 z^3 + 28205 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(8505 Pi z)










Standard Form





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MathML Form







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<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'> 8505 </cn> <pi /> <ci> z </ci> </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