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





http://functions.wolfram.com/07.27.03.2126.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 7/2}, {1, 3}, z] == (1/(7203735 Pi^2 z^2)) (128 (98 + 4459 z + 4189659 z^2 + 32213620 z^3 + 32753156 z^4 + 4263744 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(7203735 Pi^2 z^2)) (128 (-98 - 4459 z - 4189659 z^2 - 32213620 z^3 - 32753156 z^4 - 4263744 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(7203735 Pi^2 z^2)) (64 Sqrt[1 - z] (-196 - 8967 z - 4657509 z^2 - 28459769 z^3 - 22838304 z^4 - 2128896 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(7203735 Pi^2 z^2)) (32 Sqrt[1 - z] (196 + 8967 z + 4657509 z^2 + 28459769 z^3 + 22838304 z^4 + 2128896 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(7203735 Pi^2 z^2)) (32 (196 + 8869 z + 5553474 z^2 + 39817796 z^3 + 38579528 z^4 + 4795968 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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</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> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 7203735 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> 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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> </apply> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 7203735 </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'> 32 </cn> <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> <plus /> <apply> <times /> <cn type='integer'> 2128896 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 22838304 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> 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Rule Form





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





2007-05-02