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





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









  


  








Input Form





HypergeometricPFQ[{-(5/2), 1/2, 7/2}, {1, 1}, z] == (16 (529 - 1472 z + 1024 z^2) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(225 Pi^2) + (128 Sqrt[1 - z] (-23 + 32 z) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(225 Pi^2) - (16 (529 - 1472 z + 1024 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(225 Pi^2) - (64 Sqrt[1 - z] (-23 + 32 z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(225 Pi^2) + (4 (593 - 1536 z + 1024 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(225 Pi^2)








Standard Form





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MathML Form







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type='integer'> -23 </cn> </apply> <apply> <ci> EllipticK </ci> <apply> <plus /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <ci> EllipticE </ci> <apply> <plus /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02