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





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









  


  










Input Form





HypergeometricPFQ[{-(5/2), 3/2, 3/2}, {-(1/2), 3}, -z] == -((32 (25 + 5 z - 11 z^2 + 64 z^3 + 64 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z^2)) - (32 Sqrt[1 + z] (25 + 5 z - 11 z^2 + 64 z^3 + 64 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z^2) - (32 Sqrt[1 + z] (-25 - 15 z + 56 z^2 + 64 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z^2) + (32 (25 - 5 z + 34 z^2 + 192 z^3 + 128 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z^2)










Standard Form





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MathML Form







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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'> 105 </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