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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.abev.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 1, 3}, {-(1/2), 3/2}, -z] == -((7 (-112 + 1200 z + 450 Pi^2 z^(3/2) + 2700 z^2 + 675 Pi^2 z^(5/2)))/ 1024) + (1/(6144 (1 + z)^(11/2))) ((-6144 + 57888 z + 851808 z^2 + 3649436 z^3 + 7805810 z^4 + 9519705 z^5 + 6752640 z^6 + 2604675 z^7 + 423810 z^8) Log[1 + Sqrt[z] - Sqrt[1 + z]]) + (1/(6144 (1 + z)^(11/2))) ((6144 - 57888 z - 851808 z^2 - 3649436 z^3 - 7805810 z^4 - 9519705 z^5 - 6752640 z^6 - 2604675 z^7 - 423810 z^8) Log[1 - Sqrt[z] + Sqrt[1 + z]]) - (15 (-4 + 28 z + 315 z^2 + 315 z^3) Log[Sqrt[z] + Sqrt[1 + z]])/ (256 Sqrt[z] Sqrt[1 + z]) + (1/(6144 (1 + z)^(11/2))) ((6144 - 57888 z - 851808 z^2 - 3649436 z^3 - 7805810 z^4 - 9519705 z^5 - 6752640 z^6 - 2604675 z^7 - 423810 z^8) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])]) - (1575/256) (2 z^(3/2) + 3 z^(5/2)) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])] - (1575/256) (2 z^(3/2) + 3 z^(5/2)) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))] + (1575/256) (2 z^(3/2) + 3 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