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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=3/2, a2>=3/2 > For fixed z and a1=3/2, a2=4, a3>=4 > For fixed z and a1=3/2, a2=4, a3=4 > For fixed z and a1=3/2, a2=4, a3=4, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{3/2, 4, 4}, {-(5/2), -(5/2)}, -z] == (1/(19200 (1 + z)^14)) (19200 + 195072 z + 1739008 z^2 - 157416448 z^3 + 33136663168 z^4 - 550760392448 z^5 + 2310538610912 z^6 - 3212304067232 z^7 + 1556978397117 z^8 - 234848056872 z^9 + 7128413292 z^10) - (3003 (-54912 z^(7/2) + 2635776 z^(9/2) - 23236512 z^(11/2) + 63239200 z^(13/2) - 61997975 z^(15/2) + 21905598 z^(17/2) - 2392104 z^(19/2) + 48048 z^(21/2)) ArcSinh[Sqrt[z]])/ (1280 Sqrt[1 + z] (1 + 14 z + 91 z^2 + 364 z^3 + 1001 z^4 + 2002 z^5 + 3003 z^6 + 3432 z^7 + 3003 z^8 + 2002 z^9 + 1001 z^10 + 364 z^11 + 91 z^12 + 14 z^13 + z^14))










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