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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 some numeric parameters and fixed z > For fixed z and a1=1/8, a2=m/8, a3=1





http://functions.wolfram.com/07.27.03.0335.01









  


  








Input Form





HypergeometricPFQ[{1/8, 3/8, 1}, {9/8, 11/8}, z] == (3/(16 x^3)) ((1 + x^2) (2 ArcTan[x] + (1/Sqrt[2]) Log[(1 + Sqrt[2] x + x^2)/(1 - Sqrt[2] x + x^2)]) - (1 - x^2) (Log[(1 + x)/(1 - x)] + Sqrt[2] ArcTan[1 - x^2, Sqrt[2] x])) /; x == z^(1/8)








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