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





http://functions.wolfram.com/07.27.03.1402.01









  


  








Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 1/2}, {1, 1}, z] == (8 (24956 + 98050 z + 68977 z^2 + 6908 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^ 2)/(3675 Pi^2) - (1/(3675 Pi^2)) (8 Sqrt[1 - z] (12636 + 41044 z + 23123 z^2 + 1680 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(3675 Pi^2)) (8 (24956 + 98050 z + 68977 z^2 + 6908 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (4 Sqrt[1 - z] (12636 + 41044 z + 23123 z^2 + 1680 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2) + (4 (16311 + 59856 z + 40367 z^2 + 3874 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^ 2)/(3675 Pi^2)








Standard Form





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MathML Form







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&#960; </mi> <mn> 2 </mn> </msup> </mrow> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HypergeometricPFQ </ci> <list> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 7 <sep /> 2 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 7 <sep /> 2 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </list> <list> <cn type='integer'> 1 </cn> <cn type='integer'> 1 </cn> </list> <ci> z </ci> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 6908 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 68977 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 98050 </cn> <ci> z </ci> </apply> <cn type='integer'> 24956 </cn> </apply> <apply> <power /> <apply> <ci> EllipticE </ci> <apply> 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<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> </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