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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.astv.01









  


  










Input Form





HypergeometricPFQ[{3/2, 4, 4}, {-(5/2), 5/2}, z] == (384 - 4672 z + 29712 z^2 - 149768 z^3 + 1137817 z^4 + 2430228 z^5 + 385124 z^6)/(1280 (-1 + z)^9 z) + (3 (-128 + 1216 z - 5168 z^2 + 12920 z^3 - 20995 z^4 + 667238 z^5 + 573144 z^6 + 48048 z^7) ArcSin[Sqrt[z]])/ (1280 Sqrt[1 - z] (-z^(3/2) + 9 z^(5/2) - 36 z^(7/2) + 84 z^(9/2) - 126 z^(11/2) + 126 z^(13/2) - 84 z^(15/2) + 36 z^(17/2) - 9 z^(19/2) + z^(21/2)))










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