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





http://functions.wolfram.com/07.27.03.acq1.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 5/2, 5/2}, {1/2, 4}, -z] == (32 (-200 - 5 z - 35 z^2 + 728 z^3 + 3008 z^4 + 2048 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) + (32 Sqrt[1 + z] (-200 - 5 z - 35 z^2 + 728 z^3 + 3008 z^4 + 2048 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) + (128 Sqrt[1 + z] (50 - 5 z + 120 z^2 + 688 z^3 + 512 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) - (64 (-100 - 15 z + 205 z^2 + 2104 z^3 + 4032 z^4 + 2048 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3)










Standard Form





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MathML Form







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</apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 3465 </cn> <pi /> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </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