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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=-7/2





http://functions.wolfram.com/07.27.03.ave2.01









  


  










Input Form





HypergeometricPFQ[{4, 4, 4}, {-(7/2), 2}, z] == (1/(43008 (-1 + z)^13)) (-43008 + 952320 z - 11743232 z^2 + 124891136 z^3 - 2258712576 z^4 - 17882029803 z^5 - 26314821240 z^6 - 10983835332 z^7 - 1215269824 z^8 - 21266816 z^9) - (2145 (139425 z^(9/2) + 512850 z^(11/2) + 491720 z^(13/2) + 144624 z^(15/2) + 11328 z^(17/2) + 128 z^(19/2)) ArcSin[Sqrt[z]])/ (2048 Sqrt[1 - z] (-1 + 13 z - 78 z^2 + 286 z^3 - 715 z^4 + 1287 z^5 - 1716 z^6 + 1716 z^7 - 1287 z^8 + 715 z^9 - 286 z^10 + 78 z^11 - 13 z^12 + z^13))










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