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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=1, a2>=1 > For fixed z and a1=1, a2=4, a3>=4 > For fixed z and a1=1, a2=4, a3=4 > For fixed z and a1=1, a2=4, a3=4, b1=-5/2





http://functions.wolfram.com/07.27.03.ar5s.01









  


  










Input Form





HypergeometricPFQ[{1, 4, 4}, {-(5/2), 2}, -z] == (1/(5760 (1 + z)^9)) (5760 + 70272 z + 475648 z^2 + 3912192 z^3 - 7136037 z^4 + 786662 z^5 - 80640 z^6 - 20160 z^7 - 2240 z^8) - (1001 (143 z^(7/2) - 104 z^(9/2) + 8 z^(11/2)) ArcSinh[Sqrt[z]])/ (128 (1 + z)^(19/2))










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