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





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









  


  










Input Form





HypergeometricPFQ[{5/2, 4, 4}, {-(3/2), -(3/2)}, -z] == (1/(2304 (1 + z)^13)) (2304 - 11008 z + 6815232 z^2 - 1355186816 z^3 + 21914954240 z^4 - 88843479456 z^5 + 118393640992 z^6 - 54408309483 z^7 + 7673137164 z^8 - 213855180 z^9) + (385 (-29568 z^(5/2) + 1385472 z^(7/2) - 11864160 z^(9/2) + 31165600 z^(11/2) - 29250925 z^(13/2) + 9790902 z^(15/2) - 999768 z^(17/2) + 18480 z^(19/2)) ArcSinh[Sqrt[z]])/ (256 Sqrt[1 + z] (1 + 13 z + 78 z^2 + 286 z^3 + 715 z^4 + 1287 z^5 + 1716 z^6 + 1716 z^7 + 1287 z^8 + 715 z^9 + 286 z^10 + 78 z^11 + 13 z^12 + z^13))










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