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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=5/2, a2>=5/2 > For fixed z and a1=5/2, a2=5/2, a3>=5/2 > For fixed z and a1=5/2, a2=5/2, a3=3 > For fixed z and a1=5/2, a2=5/2, a3=3, b1=1





http://functions.wolfram.com/07.27.03.au2a.01









  


  










Input Form





HypergeometricPFQ[{5/2, 5/2, 3}, {1, 1}, -z] == ((41 - 320 z + 261 z^2 - 18 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(6 Pi (1 + z)^6) + ((41 - 320 z + 261 z^2 - 18 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(6 Pi (1 + z)^(11/2)) + ((-24 + 283 z - 306 z^2 + 27 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(6 Pi z (1 + z)^5) + ((24 - 341 z + 663 z^2 - 243 z^3 + 9 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (6 Pi z (1 + z)^(11/2))










Standard Form





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MathML Form







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<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'> 6 </cn> <pi /> <ci> z </ci> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 11 <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