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





http://functions.wolfram.com/07.27.03.au9s.01









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 3}, {-(5/2), -(3/2)}, -z] == (1/(64 (1 + z)^12)) (64 + 384 z + 13952 z^2 + 2311168 z^3 - 100592064 z^4 + 613623296 z^5 - 1020629280 z^6 + 526763160 z^7 - 76581561 z^8 + 1988238 z^9) - (3465 (4224 z^(7/2) - 66176 z^(9/2) + 236000 z^(11/2) - 263400 z^(13/2) + 96159 z^(15/2) - 9912 z^(17/2) + 168 z^(19/2)) ArcSinh[Sqrt[z]])/(64 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