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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.act6.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 5/2, 3}, {1, 4}, -z] == (4 (-320 + 80 z - 45 z^2 + 4709 z^3 + 13384 z^4 + 8064 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) + (4 Sqrt[1 + z] (-320 + 80 z - 45 z^2 + 4709 z^3 + 13384 z^4 + 8064 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) + (16 Sqrt[1 + z] (80 - 30 z + 885 z^2 + 3094 z^3 + 2016 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) - (8 (-160 + 20 z + 1725 z^2 + 10897 z^3 + 17416 z^4 + 8064 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3)










Standard Form





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MathML Form







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</semantics> </math>










Rule Form





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





2007-05-02