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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=3, a3>=3 > For fixed z and a1=5/2, a2=3, a3=4 > For fixed z and a1=5/2, a2=3, a3=4, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 4}, {-(5/2), -(1/2)}, -z] == (1/(128 (1 + z)^12)) (128 - 1536 z - 171776 z^2 - 10496512 z^3 + 236532960 z^4 - 874718768 z^5 + 915455178 z^6 - 284769135 z^7 + 20608014 z^8 - 64680 z^9) - (45045 (-1056 z^(7/2) + 9680 z^(9/2) - 21950 z^(11/2) + 15705 z^(13/2) - 3444 z^(15/2) + 168 z^(17/2)) ArcSinh[Sqrt[z]])/ (128 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