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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=4, a2>=4 > For fixed z and a1=4, a2=4, a3>=4 > For fixed z and a1=4, a2=4, a3=4 > For fixed z and a1=4, a2=4, a3=4, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{4, 4, 4}, {-(5/2), 2}, z] == (1/(92160 (-1 + z)^12)) (92160 - 2285568 z + 36622336 z^2 - 884563968 z^3 - 9003213825 z^4 - 16198576940 z^5 - 8029362372 z^6 - 1034956416 z^7 - 20882432 z^8) - (1001 (61347 z^(7/2) + 278850 z^(9/2) + 319800 z^(11/2) + 110000 z^(13/2) + 9920 z^(15/2) + 128 z^(17/2)) ArcSin[Sqrt[z]])/ (2048 Sqrt[1 - z] (1 - 12 z + 66 z^2 - 220 z^3 + 495 z^4 - 792 z^5 + 924 z^6 - 792 z^7 + 495 z^8 - 220 z^9 + 66 z^10 - 12 z^11 + z^12))










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