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





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









  


  








Input Form





HypergeometricPFQ[{1/2, 1/2, 1/2}, {3/2, 5/2}, z] == Pi^2/(8 Sqrt[-z]) - (3 Sqrt[1 - z])/(8 z) - (3 (1 - 2 z) Log[Sqrt[1 - z] + Sqrt[-z]])/(8 (-z)^(3/2)) - (3 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(4 Sqrt[-z]) + (3 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (2 Sqrt[-z]) + (3 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(2 Sqrt[-z]) - (3 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(2 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