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





http://functions.wolfram.com/07.27.03.ah4t.01









  


  








Input Form





HypergeometricPFQ[{-(3/2), 2, 2}, {-(1/2), 1/2}, -z] == (32 - 596 z - 225 Pi^2 z^(3/2) - 1600 z^2 - 450 Pi^2 z^(5/2) - 900 z^3 - 225 Pi^2 z^(7/2))/(32 (1 + z)^2) + (1/(256 (1 + z)^(11/2))) ((-256 + 8096 z + 76464 z^2 + 257420 z^3 + 414461 z^4 + 357867 z^5 + 160104 z^6 + 29280 z^7) Log[1 + Sqrt[z] - Sqrt[1 + z]]) + (1/(256 (1 + z)^(11/2))) ((256 - 8096 z - 76464 z^2 - 257420 z^3 - 414461 z^4 - 357867 z^5 - 160104 z^6 - 29280 z^7) Log[1 - Sqrt[z] + Sqrt[1 + z]]) - (3 (9 Sqrt[z] + 115 z^(3/2) + 175 z^(5/2) + 75 z^(7/2)) Log[Sqrt[z] + Sqrt[1 + z]])/(8 (1 + z)^(5/2)) + (1/(256 (1 + z)^(11/2))) ((256 - 8096 z - 76464 z^2 - 257420 z^3 - 414461 z^4 - 357867 z^5 - 160104 z^6 - 29280 z^7) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])]) - (225/8) z^(3/2) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])] - (225/8) z^(3/2) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))] + (225/8) z^(3/2) PolyLog[2, 1/(Sqrt[z] + Sqrt[1 + 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