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





http://functions.wolfram.com/07.27.03.ap05.01









  


  










Input Form





HypergeometricPFQ[{1/2, 7/2, 7/2}, {1, 3/2}, -z] == (2 (465 + 410 z + 569 z^2 + 304 z^3 + 64 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(225 Pi (1 + z)^5) + (2 (465 + 410 z + 569 z^2 + 304 z^3 + 64 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (225 Pi (1 + z)^(9/2)) + (4 (-225 - 270 z - 445 z^2 - 272 z^3 - 64 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (225 Pi z (1 + z)^4) + (4 (225 + 30 z + 305 z^2 + 148 z^3 + 32 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (225 Pi z (1 + z)^(9/2))










Standard Form





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MathML Form







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<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'> 225 </cn> <pi /> <ci> z </ci> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 9 <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