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





http://functions.wolfram.com/07.27.03.a893.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 5/2}, {-(5/2), 2}, -z] == (4 (5 + 123 z + 248 z^2 + 128 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(105 Pi z) + (4 Sqrt[1 + z] (5 + 123 z + 248 z^2 + 128 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z) + (16 Sqrt[1 + z] (25 + 58 z + 32 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(105 Pi z) - (8 (55 + 239 z + 312 z^2 + 128 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(105 Pi z)










Standard Form





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MathML Form







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</math>










Rule Form





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





2007-05-02