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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, a3>=3 > For fixed z and a1=1, a2=3, a3=7/2 > For fixed z and a1=1, a2=3, a3=7/2, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{1, 3, 7/2}, {-(5/2), -(5/2)}, -z] == (1/(200 (1 + z)^12)) (200 + 2064 z + 11856 z^2 - 241600 z^3 + 39232248 z^4 - 422238960 z^5 + 1036513632 z^6 - 714776832 z^7 + 126409360 z^8 - 3053736 z^9 - 735 z^10 + 490 z^11) + (693 (1024 z^(7/2) - 33792 z^(9/2) + 190080 z^(11/2) - 295680 z^(13/2) + 138600 z^(15/2) - 16632 z^(17/2) + 231 z^(19/2)) ArcSinh[Sqrt[z]])/ (40 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