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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, a2>=1 > For fixed z and a1=1, a2=3/2, a3>=3/2 > For fixed z and a1=1, a2=3/2, a3=3 > For fixed z and a1=1, a2=3/2, a3=3, b1=-7/2





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









  


  










Input Form





HypergeometricPFQ[{1, 3/2, 3}, {-(7/2), -(7/2)}, -z] == (1/(1960 (1 + z)^12)) (1960 + 22800 z + 121872 z^2 + 388544 z^3 + 1747992 z^4 - 125021040 z^5 + 1337052640 z^6 - 3175089984 z^7 + 2068815672 z^8 - 317147754 z^9 + 2877525 z^10 + 39690 z^11) + (1287 (-256 z^(9/2) + 8320 z^(11/2) - 45760 z^(13/2) + 68640 z^(15/2) - 30030 z^(17/2) + 3003 z^(19/2)) ArcSinh[Sqrt[z]])/ (56 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