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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=-1/2, a2>=-1/2 > For fixed z and a1=-1/2, a2=3, a3>=3 > For fixed z and a1=-1/2, a2=3, a3=3 > For fixed z and a1=-1/2, a2=3, a3=3, b1=-5/2





http://functions.wolfram.com/07.27.03.alq3.01









  


  








Input Form





HypergeometricPFQ[{-(1/2), 3, 3}, {-(5/2), 5/2}, -z] == (-48 - 20 z + 629 z^2 + 1546 z^3)/(320 z (1 + z)^5) - (3 (-16 - 124 z - 321 z^2 - 264 z^3 + 264 z^4) ArcSinh[Sqrt[z]])/ (320 z^(3/2) (1 + z)^(11/2))








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