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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=3 > For fixed z and a1=-5/2, a2=1, a3=3, b1=1/2





http://functions.wolfram.com/07.27.03.abf7.01









  


  








Input Form





HypergeometricPFQ[{-(5/2), 1, 3}, {1/2, 1/2}, -z] == (2048 + 1800 Pi^2 Sqrt[z] + 37800 z + 12600 Pi^2 z^(3/2) + 56700 z^2 + 14175 Pi^2 z^(5/2))/2048 + (1/(6144 (1 + z)^(11/2))) ((-6144 - 287232 z - 2154352 z^2 - 7367144 z^3 - 13993030 z^4 - 15821195 z^5 - 10639010 z^6 - 3942285 z^7 - 621540 z^8) Log[1 + Sqrt[z] - Sqrt[1 + z]]) + (1/(6144 (1 + z)^(11/2))) ((6144 + 287232 z + 2154352 z^2 + 7367144 z^3 + 13993030 z^4 + 15821195 z^5 + 10639010 z^6 + 3942285 z^7 + 621540 z^8) Log[1 - Sqrt[z] + Sqrt[1 + z]]) + (15 (274 Sqrt[z] + 1155 z^(3/2) + 945 z^(5/2)) Log[Sqrt[z] + Sqrt[1 + z]])/ (512 Sqrt[1 + z]) + (1/(6144 (1 + z)^(11/2))) ((6144 + 287232 z + 2154352 z^2 + 7367144 z^3 + 13993030 z^4 + 15821195 z^5 + 10639010 z^6 + 3942285 z^7 + 621540 z^8) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])]) + (225/512) (8 Sqrt[z] + 56 z^(3/2) + 63 z^(5/2)) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])] + (225/512) (8 Sqrt[z] + 56 z^(3/2) + 63 z^(5/2)) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))] - (225/512) (8 Sqrt[z] + 56 z^(3/2) + 63 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