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





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









  


  










Input Form





HypergeometricPFQ[{7/2, 4, 4}, {-(5/2), 5/2}, -z] == (1/(6400 (1 + z)^11)) (6400 + 127744 z + 1597184 z^2 + 28990720 z^3 - 200921020 z^4 + 222511745 z^5 - 55976076 z^6 + 2310004 z^7) - (9009 z^(7/2) (1716 - 5291 z + 3666 z^2 - 616 z^3 + 16 z^4) ArcSinh[Sqrt[z]])/(1280 Sqrt[1 + z] (1 + 11 z + 55 z^2 + 165 z^3 + 330 z^4 + 462 z^5 + 462 z^6 + 330 z^7 + 165 z^8 + 55 z^9 + 11 z^10 + z^11))










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