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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=3/2 > For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=2





http://functions.wolfram.com/07.27.03.1648.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {2, 3}, z] == (1/(108056025 Pi^2 z^2)) (128 (22050 + 2053555 z + 39067418 z^2 + 74219283 z^3 + 29740097 z^4 + 1907152 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(108056025 Pi^2 z^2)) (128 (-22050 - 2053555 z - 39067418 z^2 - 74219283 z^3 - 29740097 z^4 - 1907152 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(108056025 Pi^2 z^2)) (128 Sqrt[1 - z] (-22050 - 1392055 z - 18299328 z^2 - 28707435 z^3 - 9349952 z^4 - 443520 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(108056025 Pi^2 z^2)) (64 Sqrt[1 - z] (22050 + 1392055 z + 18299328 z^2 + 28707435 z^3 + 9349952 z^4 + 443520 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(108056025 Pi^2 z^2)) (64 (22050 + 1381030 z + 24521488 z^2 + 44570241 z^3 + 17235950 z^4 + 1064456 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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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> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 108056025 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 64 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 1064456 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 17235950 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 44570241 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> 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Rule Form





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





2007-05-02