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





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









  


  








Input Form





HypergeometricPFQ[{1, 1, 5/2}, {-(5/2), -(5/2)}, -z] == (1/(45 (1 + z)^9)) (45 + 387 z + 1514 z^2 + 612 z^3 + 218190 z^4 - 1061270 z^5 + 911736 z^6 - 107268 z^7 - 1729 z^8) + (7 (256 z^(7/2) - 4480 z^(9/2) + 11200 z^(11/2) - 5600 z^(13/2) + 350 z^(15/2) + 7 z^(17/2)) ArcSinh[Sqrt[z]])/(3 (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