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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=-1/2





http://functions.wolfram.com/07.27.03.ar6a.01









  


  








Input Form





HypergeometricPFQ[{1, 4, 4}, {-(1/2), 3}, -z] == (96 + 1600 z - 2381 z^2 - 600 z^3 - 212 z^4 - 32 z^5)/(96 (1 + z)^6) + (105 (-9 z^(3/2) + 2 z^(5/2)) ArcSinh[Sqrt[z]])/(32 (1 + z)^(13/2))








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