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





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









  


  








Input Form





HypergeometricPFQ[{-(1/2), 1/2, 3}, {3/2, 7/2}, z] == (5 (3 + 7 z + 30 z^2))/(512 z^2) + (15 (1 + 2 z - 13 z^2 + 10 z^3) Log[1 - Sqrt[z]])/(1024 z^(5/2)) - (15 (1 + 2 z - 13 z^2 + 10 z^3) Log[1 + Sqrt[z]])/(1024 z^(5/2)) - (45 PolyLog[2, -Sqrt[z]])/(256 Sqrt[z]) + (45 PolyLog[2, Sqrt[z]])/ (256 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