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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=1





http://functions.wolfram.com/07.27.03.0331.01









  


  








Input Form





HypergeometricPFQ[{-(1/2), 3, 3}, {1, 5/2}, z] == (3/(512 z)) ((1 + 151 z - 393 z^2 + 225 z^3)/(1 - z)^2 - ((1 - 18 z + 225 z^2)/Sqrt[z]) ArcTanh[Sqrt[z]])








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)





2001-10-29