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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.asty.01









  


  










Input Form





HypergeometricPFQ[{3/2, 4, 4}, {-(5/2), 7/2}, z] == (1920 - 15616 z + 56624 z^2 - 123280 z^3 + 197881 z^4 - 456128 z^5 - 337076 z^6)/(768 (-1 + z)^8 z^2) + ((-640 + 5632 z - 22032 z^2 + 50320 z^3 - 74035 z^4 + 72930 z^5 - 209352 z^6 - 48048 z^7) ArcSin[Sqrt[z]])/ (256 Sqrt[1 - z] (z^(5/2) - 8 z^(7/2) + 28 z^(9/2) - 56 z^(11/2) + 70 z^(13/2) - 56 z^(15/2) + 28 z^(17/2) - 8 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