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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=-7/8, b>=a > For fixed z and a=-7/8, b=21/8





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









  


  










Input Form





Hypergeometric2F1[-(7/8), 21/8, -(23/4), z] == (1/(1538240 2^(3/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(3/4) (-769120 + 4932400 z - 13101990 z^2 + 18140749 z^3 - 12973171 z^4 + 2919735 z^5 - 2500491 z^6 + 513360 z^7 + (1/Sqrt[1 - z]) (2 (-384560 + 2658480 z - 7736025 z^2 + 12061632 z^3 - 10342014 z^4 + 3892980 z^5 + 3358943 z^6 - 1959324 z^7 + 342240 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