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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=-5/2, a2>=-5/2 > For fixed z and a1=-5/2, a2=2, a3>=2 > For fixed z and a1=-5/2, a2=2, a3=2 > For fixed z and a1=-5/2, a2=2, a3=2, b1=1/2





http://functions.wolfram.com/07.27.03.ac8p.01









  


  








Input Form





HypergeometricPFQ[{-(5/2), 2, 2}, {1/2, 3/2}, -z] == (5664 + 3240 Pi^2 Sqrt[z] + 44200 z + 13500 Pi^2 z^(3/2) + 44100 z^2 + 11025 Pi^2 z^(5/2))/6144 + (1/(3072 (1 + z)^(9/2))) ((-3072 - 68464 z - 368952 z^2 - 937310 z^3 - 1308690 z^4 - 1037355 z^5 - 439590 z^6 - 77595 z^7) Log[1 + Sqrt[z] - Sqrt[1 + z]]) + (1/(3072 (1 + z)^(9/2))) ((3072 + 68464 z + 368952 z^2 + 937310 z^3 + 1308690 z^4 + 1037355 z^5 + 439590 z^6 + 77595 z^7) Log[1 - Sqrt[z] + Sqrt[1 + z]]) + (5 Sqrt[1 + z] (8 + 410 z + 735 z^2) Log[Sqrt[z] + Sqrt[1 + z]])/ (512 Sqrt[z]) + (1/(3072 (1 + z)^(9/2))) ((3072 + 68464 z + 368952 z^2 + 937310 z^3 + 1308690 z^4 + 1037355 z^5 + 439590 z^6 + 77595 z^7) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/ (1 + Sqrt[z] + Sqrt[1 + z])]) + (15/512) (72 Sqrt[z] + 300 z^(3/2) + 245 z^(5/2)) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/ (1 + Sqrt[z] + Sqrt[1 + z])] + (15/512) (72 Sqrt[z] + 300 z^(3/2) + 245 z^(5/2)) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))] - (15/512) (72 Sqrt[z] + 300 z^(3/2) + 245 z^(5/2)) PolyLog[2, 1/(Sqrt[z] + Sqrt[1 + z])]








Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02