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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=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=5/2, a3>=5/2 > For fixed z and a1=-7/2, a2=5/2, a3=3 > For fixed z and a1=-7/2, a2=5/2, a3=3, b1=1





http://functions.wolfram.com/07.27.03.8918.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), 5/2, 3}, {1, 4}, -z] == (1/(45045 Pi z^3)) (4 (-2240 + 560 z - 315 z^2 + 64247 z^3 + 276442 z^4 + 335232 z^5 + 126720 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(45045 Pi z^3)) (4 Sqrt[1 + z] (-2240 + 560 z - 315 z^2 + 64247 z^3 + 276442 z^4 + 335232 z^5 + 126720 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(45045 Pi z^3)) (8 Sqrt[1 + z] (1120 - 420 z + 22785 z^2 + 121229 z^3 + 159696 z^4 + 63360 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(45045 Pi z^3)) (16 (-560 + 70 z + 11235 z^2 + 92738 z^3 + 218069 z^4 + 199296 z^5 + 63360 z^6) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])










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