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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm2d.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 39/8, 23/4, z] == (1/(276758793 z^5)) (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (240240 + 44044 z + 68159 z^2 + 158678 z^3 + 748943 z^4 - 4233696 z^5 + 4958976 z^6 - 1757184 z^7 - (1/Sqrt[1 - z]) (240240 - 76076 z + 16107 z^2 + 104078 z^3 + 648947 z^4 - 13289264 z^5 + 29995392 z^6 - 24668160 z^7 + 7028736 z^8)))










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