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





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









  


  










Input Form





HypergeometricPFQ[{-(5/2), 1, 7/2}, {1, 4}, -z] == (32 (8 - 13 z + 41 z^2 + 454 z^3 + 640 z^4 + 256 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) + (32 Sqrt[1 + z] (8 - 13 z + 41 z^2 + 454 z^3 + 640 z^4 + 256 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) + (64 Sqrt[1 + z] (-4 + 7 z + 195 z^2 + 304 z^3 + 128 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3465 Pi z^3) - (128 (2 - 3 z + 118 z^2 + 379 z^3 + 384 z^4 + 128 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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Rule Form





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





2007-05-02