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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=2, a2>=2 > For fixed z and a1=2, a2=7/2, a3>=7/2 > For fixed z and a1=2, a2=7/2, a3=4 > For fixed z and a1=2, a2=7/2, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.att8.01









  


  










Input Form





HypergeometricPFQ[{2, 7/2, 4}, {-(7/2), -(1/2)}, -z] == (1/(32 (1 + z)^13)) (32 - 96 z - 17984 z^2 - 480832 z^3 - 17016480 z^4 + 257377120 z^5 - 699386688 z^6 + 559100880 z^7 - 133675416 z^8 + 7092489 z^9 - 10296 z^10 + 132 z^11) - (45045 (-1408 z^(9/2) + 9280 z^(11/2) - 15984 z^(13/2) + 8904 z^(15/2) - 1515 z^(17/2) + 54 z^(19/2)) ArcSinh[Sqrt[z]])/ (32 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