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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=3/2, a2>=3/2 > For fixed z and a1=3/2, a2=7/2, a3>=7/2 > For fixed z and a1=3/2, a2=7/2, a3=4 > For fixed z and a1=3/2, a2=7/2, a3=4, b1=1





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









  


  










Input Form





HypergeometricPFQ[{3/2, 7/2, 4}, {1, 1}, -z] == ((828 - 7209 z + 6783 z^2 - 533 z^3 + 9 z^4 + 2 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(120 Pi (1 + z)^7) + ((828 - 7209 z + 6783 z^2 - 533 z^3 + 9 z^4 + 2 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (120 Pi (1 + z)^(13/2)) + ((-120 + 1563 z - 1956 z^2 + 198 z^3 - 4 z^4 - z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^6) + ((240 - 3714 z + 7995 z^2 - 3267 z^3 + 145 z^4 + z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (60 Pi z (1 + z)^(13/2))










Standard Form





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MathML Form







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<ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 13 <sep /> 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