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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=3/2, a3>=3/2 > For fixed z and a1=-7/2, a2=3/2, a3=3 > For fixed z and a1=-7/2, a2=3/2, a3=3, b1=1





http://functions.wolfram.com/07.27.03.7797.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), 3/2, 3}, {1, 4}, -z] == (1/(45045 Pi z^3)) (4 (2240 - 560 z + 315 z^2 + 56302 z^3 + 146123 z^4 + 128088 z^5 + 38016 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(45045 Pi z^3)) (4 Sqrt[1 + z] (2240 - 560 z + 315 z^2 + 56302 z^3 + 146123 z^4 + 128088 z^5 + 38016 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(45045 Pi z^3)) (32 Sqrt[1 + z] (-280 + 105 z + 5565 z^2 + 16561 z^3 + 15417 z^4 + 4752 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(45045 Pi z^3)) (8 (1120 - 140 z + 22575 z^2 + 122546 z^3 + 207791 z^4 + 147096 z^5 + 38016 z^6) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])










Standard Form





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MathML Form







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</cn> <apply> <times /> <cn type='integer'> 560 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 2240 </cn> </apply> <apply> <ci> EllipticE </ci> <apply> <times /> <apply> <power /> <apply> <plus /> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 45045 </cn> <pi /> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <plus /> <apply> 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</semantics> </math>










Rule Form





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





2007-05-02