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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=-5/2





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









  


  










Input Form





HypergeometricPFQ[{5/2, 4, 4}, {-(5/2), -(5/2)}, -z] == (1/(11520 (1 + z)^15)) (11520 + 99072 z + 1537280 z^2 - 290653440 z^3 + 73993543680 z^4 - 1568387381120 z^5 + 8793234746688 z^6 - 17498956169760 z^7 + 13542126613730 z^8 - 3986270486055 z^9 + 383128445700 z^10 - 7561277724 z^11) + (1001 (109824 z^(7/2) - 6534528 z^(9/2) + 74023872 z^(11/2) - 272074976 z^(13/2) + 387614630 z^(15/2) - 224017937 z^(17/2) + 49955334 z^(19/2) - 3579576 z^(21/2) + 48048 z^(23/2)) ArcSinh[Sqrt[z]])/ (256 Sqrt[1 + z] (1 + 15 z + 105 z^2 + 455 z^3 + 1365 z^4 + 3003 z^5 + 5005 z^6 + 6435 z^7 + 6435 z^8 + 5005 z^9 + 3003 z^10 + 1365 z^11 + 455 z^12 + 105 z^13 + 15 z^14 + z^15))










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