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





http://functions.wolfram.com/07.27.03.a7y4.01









  


  








Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 1/2}, {1, 2}, z] == (16 (-75 + 8388 z + 8356 z^2 + 1118 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/ (3675 Pi^2 z) - (1/(3675 Pi^2 z)) (16 Sqrt[1 - z] (-75 + 3653 z + 2923 z^2 + 280 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (16 (-75 + 8388 z + 8356 z^2 + 1118 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(3675 Pi^2 z) + (8 Sqrt[1 - z] (-75 + 3653 z + 2923 z^2 + 280 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2 z) + (8 (-75 + 5528 z + 4924 z^2 + 629 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (3675 Pi^2 z)








Standard Form





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MathML Form







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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> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 3675 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <ci> z </ci> </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