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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=-1/2, a3>=-1/2 > For fixed z and a1=-7/2, a2=-1/2, a3=5/2 > For fixed z and a1=-7/2, a2=-1/2, a3=5/2, b1=3/2





http://functions.wolfram.com/07.27.03.5289.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(1/2), 5/2}, {3/2, 3}, -z] == -((32 (-7 + 98 z - 4429 z^2 + 1228 z^3 + 298 z^4 + 40 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2)) - (32 Sqrt[1 + z] (-7 + 98 z - 4429 z^2 + 1228 z^3 + 298 z^4 + 40 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2) - (32 Sqrt[1 + z] (7 - 3997 z + 7257 z^2 + 293 z^3 + 40 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2) + (32 (-7 - 3801 z - 1601 z^2 + 2749 z^3 + 636 z^4 + 80 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2)










Standard Form





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MathML Form







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<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'> 31185 </cn> <pi /> <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