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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.ab17.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 1, 1}, {-(1/2), 5/2}, -z] == (-960 + 224 z - 1240 z^2 - 360 Pi^2 z^(5/2) - 900 z^3 - 225 Pi^2 z^(7/2))/ (1024 z) + (1/(2048 (1 + z)^(9/2))) ((-4568 - 9516 z + 53512 z^2 + 197705 z^3 + 302805 z^4 + 243045 z^5 + 100755 z^6 + 17070 z^7) Log[1 + Sqrt[z] - Sqrt[1 + z]]) + (1/(2048 (1 + z)^(9/2))) ((4568 + 9516 z - 53512 z^2 - 197705 z^3 - 302805 z^4 - 243045 z^5 - 100755 z^6 - 17070 z^7) Log[1 - Sqrt[z] + Sqrt[1 + z]]) - (15 Sqrt[1 + z] (-16 - 8 z + 14 z^2 + 15 z^3) Log[Sqrt[z] + Sqrt[1 + z]])/ (256 z^(3/2)) + (1/(2048 (1 + z)^(9/2))) ((4568 + 9516 z - 53512 z^2 - 197705 z^3 - 302805 z^4 - 243045 z^5 - 100755 z^6 - 17070 z^7) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/ (1 + Sqrt[z] + Sqrt[1 + z])]) - (45/256) z^(3/2) (8 + 5 z) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/ (1 + Sqrt[z] + Sqrt[1 + z])] - (45/256) z^(3/2) (8 + 5 z) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))] + (45/256) z^(3/2) (8 + 5 z) 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