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





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









  


  










Input Form





HypergeometricPFQ[{-(1/2), 3, 3}, {1/2, 7/2}, z] == (5 (96 - 104 z - 700 z^2 + 225 I Pi^2 z^(5/2) + 900 z^3 - 225 I Pi^2 z^(7/2)))/(4096 (-1 + z) z^2) + (15 Sqrt[1 - z] (8 - 14 z + 15 z^2 - 100 z^3 + 75 z^4) ArcSin[Sqrt[z]])/ (1024 (-1 + z)^2 z^(5/2)) - (1/(6144 (-1 + z)^7)) (5 Sqrt[1 - z] (-2304 + 88122 z - 198490 z^2 + 400070 z^3 - 456790 z^4 + 304929 z^5 - 111072 z^6 + 17115 z^7) Log[1 - E^(I ArcSin[Sqrt[z]])]) + (1/(6144 (-1 + z)^7)) (5 Sqrt[1 - z] (-2304 + 88122 z - 198490 z^2 + 400070 z^3 - 456790 z^4 + 304929 z^5 - 111072 z^6 + 17115 z^7) Log[(1 - E^(I ArcSin[Sqrt[z]]))/(1 + E^(I ArcSin[Sqrt[z]]))]) - (1125 Sqrt[z] ArcSin[Sqrt[z]] Log[(1 - E^(I ArcSin[Sqrt[z]]))/ (1 + E^(I ArcSin[Sqrt[z]]))])/1024 + (1/(6144 (-1 + z)^7)) (5 Sqrt[1 - z] (-2304 + 88122 z - 198490 z^2 + 400070 z^3 - 456790 z^4 + 304929 z^5 - 111072 z^6 + 17115 z^7) Log[1 + E^(I ArcSin[Sqrt[z]])]) - (1125 I Sqrt[z] PolyLog[2, -E^(I ArcSin[Sqrt[z]])])/1024 + (1125 I Sqrt[z] PolyLog[2, E^(I ArcSin[Sqrt[z]])])/1024










Standard Form





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MathML Form







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





2007-05-02