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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=7/2 > For fixed z and a1=-5/2, a2=-5/2, a3=7/2, b1=-1/2





http://functions.wolfram.com/07.27.03.a8h1.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 7/2}, {-(1/2), 3}, -z] == -((32 (5 - 62 z - 3519 z^2 - 52364 z^3 + 54008 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2)) - (32 Sqrt[1 + z] (5 - 62 z - 3519 z^2 - 52364 z^3 + 54008 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2) + (32 Sqrt[1 + z] (5 + 2418 z + 33285 z^2 - 134648 z^3 + 40320 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2) + (32 (5 - 2542 z - 40323 z^2 + 29920 z^3 + 67696 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2)










Standard Form





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MathML Form







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</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