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





http://functions.wolfram.com/07.27.03.ab1b.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 1, 1}, {-(1/2), 7/2}, -z] == (-1920 - 4480 z + 304 z^2 - 1600 z^3 - 450 Pi^2 z^(7/2) - 900 z^4 - 225 Pi^2 z^(9/2))/(2048 z^2) + (1/(36864 (1 + z)^(11/2))) ((-86032 - 236196 z - 204626 z^2 + 2752693 z^3 + 5731930 z^4 + 6090930 z^5 + 3661890 z^6 + 1185765 z^7 + 160830 z^8) Log[1 + Sqrt[z] - Sqrt[1 + z]]) + (1/(36864 (1 + z)^(11/2))) ((86032 + 236196 z + 204626 z^2 - 2752693 z^3 - 5731930 z^4 - 6090930 z^5 - 3661890 z^6 - 1185765 z^7 - 160830 z^8) Log[1 - Sqrt[z] + Sqrt[1 + z]]) - (15 Sqrt[1 + z] (-32 - 64 z - 12 z^2 + 20 z^3 + 15 z^4) Log[Sqrt[z] + Sqrt[1 + z]])/(512 z^(5/2)) + (1/(36864 (1 + z)^(11/2))) ((86032 + 236196 z + 204626 z^2 - 2752693 z^3 - 5731930 z^4 - 6090930 z^5 - 3661890 z^6 - 1185765 z^7 - 160830 z^8) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])]) - (225/512) z^(3/2) (2 + z) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])] - (225/512) z^(3/2) (2 + z) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))] + (225/512) z^(3/2) (2 + z) 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