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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=5/2, a2>=5/2 > For fixed z and a1=5/2, a2=3, a3>=3 > For fixed z and a1=5/2, a2=3, a3=4 > For fixed z and a1=5/2, a2=3, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.auf2.01









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 4}, {-(7/2), 7/2}, z] == (1/(896 (-1 + z)^9 z^2)) (15360 - 135680 z + 530176 z^2 - 1197504 z^3 + 1697256 z^4 - 1435804 z^5 - 470559 z^6 - 2711950 z^7 - 120120 z^8) - (15 (1024 - 9728 z + 41344 z^2 - 103360 z^3 + 167960 z^4 - 184756 z^5 + 138567 z^6 + 84084 z^7 + 120120 z^8) ArcSin[Sqrt[z]])/ (896 Sqrt[1 - z] (-z^(5/2) + 9 z^(7/2) - 36 z^(9/2) + 84 z^(11/2) - 126 z^(13/2) + 126 z^(15/2) - 84 z^(17/2) + 36 z^(19/2) - 9 z^(21/2) + z^(23/2)))










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