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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=1/8, b>=a > For fixed z and a=1/8, b=29/8





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









  


  










Input Form





Hypergeometric2F1[1/8, 29/8, -(19/4), z] == (1/(234080 2^(3/4) (-1 + z)^8)) ((1 + Sqrt[1 - z])^(3/4) (117040 - 925540 z + 3206819 z^2 - 6384420 z^3 + 8106946 z^4 + 5224864 z^5 - 1406749 z^6 + 171120 z^7 + (1/Sqrt[1 - z]) (117040 - 984060 z + 3654959 z^2 - 7879452 z^3 + 10951578 z^4 - 23392104 z^5 + 8560991 z^6 - 2070552 z^7 + 228160 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