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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=3/8, a2=m/8, a3=1





http://functions.wolfram.com/07.27.03.0351.01









  


  








Input Form





HypergeometricPFQ[{3/8, 5/8, 1}, {11/8, 13/8}, z] == (15/(16 x^5)) (2 (1 + x^2) (-ArcTan[x] + (1/Sqrt[2]) ArcTan[1 - x^2, Sqrt[2] x]) - (1 - x^2) (Log[(1 + x)/(1 - x)] - (1/Sqrt[2]) Log[(1 + Sqrt[2] x + x^2)/(1 - Sqrt[2] x + x^2)])) /; x == z^(1/8) && !IntervalMemberQ[Interval[{1, Infinity}], 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