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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.bm17.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(13/4), z] == (1/(34224 2^(1/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(1/4) (-17112 + 17112 z + 23529 z^2 + 49910 z^3 - 518975 z^4 + 860256 z^5 - 566016 z^6 + 135168 z^7 + (1/Sqrt[1 - z]) (4 (-4278 + 6417 z + 4278 z^2 + 9269 z^3 + 355230 z^4 - 1069316 z^5 + 1238304 z^6 - 658944 z^7 + 135168 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