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





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









  


  








Input Form





HypergeometricPFQ[{3/2, 3/2, 5/2}, {1, 4}, z] == (256 (-32 + 5 z) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(9 Pi^2 z^3) - (256 (-32 + 5 z) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(9 Pi^2 z^3) - (128 Sqrt[1 - z] (64 - 58 z + 3 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(9 Pi^2 (-1 + z) z^3) + (128 (-32 + 13 z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(9 Pi^2 z^3) + (64 Sqrt[1 - z] (64 - 58 z + 3 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (9 Pi^2 (-1 + z) z^3)








Standard Form





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MathML Form







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type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 9 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </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