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





http://functions.wolfram.com/07.27.03.av3j.01









  


  










Input Form





HypergeometricPFQ[{3, 4, 4}, {-(5/2), 1}, -z] == (1/(10240 (1 + z)^12)) (10240 + 319488 z + 6311936 z^2 + 185622528 z^3 - 2341738575 z^4 + 5252253960 z^5 - 3334022212 z^6 + 585780576 z^7 - 18960512 z^8) + (9009 (-14157 z^(7/2) + 78650 z^(9/2) - 111800 z^(11/2) + 49200 z^(13/2) - 6080 z^(15/2) + 128 z^(17/2)) ArcSinh[Sqrt[z]])/ (2048 Sqrt[1 + z] (1 + 12 z + 66 z^2 + 220 z^3 + 495 z^4 + 792 z^5 + 924 z^6 + 792 z^7 + 495 z^8 + 220 z^9 + 66 z^10 + 12 z^11 + z^12))










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