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





http://functions.wolfram.com/07.27.03.1405.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 1/2}, {1, 4}, z] == (1/(2029052025 Pi^2 z^3)) (128 (-15680 + 412090 z - 9342830 z^2 + 545170688 z^3 + 617573837 z^4 + 184126790 z^5 + 9493716 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(2029052025 Pi^2 z^3)) (128 (15680 - 412090 z + 9342830 z^2 - 545170688 z^3 - 617573837 z^4 - 184126790 z^5 - 9493716 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(2029052025 Pi^2 z^3)) (128 Sqrt[1 - z] (15680 - 408170 z + 9242625 z^2 - 234019778 z^3 - 228353059 z^4 - 56094981 z^5 - 2162160 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(2029052025 Pi^2 z^3)) (64 Sqrt[1 - z] (-15680 + 408170 z - 9242625 z^2 + 234019778 z^3 + 228353059 z^4 + 56094981 z^5 + 2162160 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(2029052025 Pi^2 z^3)) (64 (-15680 + 416010 z - 9445240 z^2 + 365419403 z^3 + 367745085 z^4 + 106231792 z^5 + 5287398 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^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