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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=2, a2>=2 > For fixed z and a1=2, a2=7/2, a3>=7/2 > For fixed z and a1=2, a2=7/2, a3=4 > For fixed z and a1=2, a2=7/2, a3=4, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{2, 7/2, 4}, {-(5/2), -(1/2)}, z] == (1/(160 (-1 + z)^12)) (160 + 1664 z - 193728 z^2 + 11598464 z^3 + 253723360 z^4 + 903767040 z^5 + 898804368 z^6 + 258595344 z^7 + 16150743 z^8 + 27300 z^9 + 420 z^10) + (9009 (1152 z^(7/2) + 10240 z^(9/2) + 22320 z^(11/2) + 15120 z^(13/2) + 3045 z^(15/2) + 126 z^(17/2)) ArcSin[Sqrt[z]])/ (32 Sqrt[1 - z] (1 - 12 z + 66 z^2 - 220 z^3 + 495 z^4 - 792 z^5 + 924 z^6 - 792 z^7 + 495 z^8 - 220 z^9 + 66 z^10 - 12 z^11 + z^12))










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