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





http://functions.wolfram.com/07.27.03.aiu8.01









  


  








Input Form





HypergeometricPFQ[{-(1/2), -(1/2), 2}, {3/2, 5/2}, z] == (3 (1 + 23 z))/(128 z) + (3 (1 - 12 z + 11 z^2) Log[1 - Sqrt[z]])/ (256 z^(3/2)) - (3 (1 - 12 z + 11 z^2) Log[1 + Sqrt[z]])/(256 z^(3/2)) - (3 (2 + 3 z) PolyLog[2, -Sqrt[z]])/(64 Sqrt[z]) + (3 (2 + 3 z) PolyLog[2, Sqrt[z]])/(64 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)





2007-05-02