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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=4 > For fixed z and a1=-7/2, a2=7/2, a3=4, b1=3





http://functions.wolfram.com/07.27.03.9803.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), 7/2, 4}, {3, 4}, -z] == (16 (-14 + 119 z + 3165 z^2 + 9056 z^3 + 9088 z^4 + 3072 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(10395 Pi z^2) + (1/(10395 Pi z^2)) (16 Sqrt[1 + z] (-14 + 119 z + 3165 z^2 + 9056 z^3 + 9088 z^4 + 3072 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (32 Sqrt[1 + z] (7 + 1239 z + 4056 z^2 + 4352 z^3 + 1536 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(10395 Pi z^2) - (32 (-7 + 1358 z + 7221 z^2 + 13408 z^3 + 10624 z^4 + 3072 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(10395 Pi z^2)










Standard Form





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MathML Form







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<apply> <ci> EllipticK </ci> <apply> <times /> <apply> <power /> <apply> <plus /> <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> <apply> <power /> <apply> <power /> <apply> <plus /> <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'> 10395 </cn> <pi /> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </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