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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=-43/8, b>=a > For fixed z and a=-43/8, b=-31/8





http://functions.wolfram.com/07.23.03.b7gf.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(31/8), 17/4, z] == (8 2^(1/4) (-239940 + 6538365 z - 122021487 z^2 + 21402256185 z^3 + 119979979749 z^4 + 161575352999 z^5 + 62411431459 z^6 + 5523932515 z^7 - 756245 z^8 + (1/Sqrt[1 - z]) (239940 - 6658335 z + 125260677 z^2 + 10272463329 z^3 + 28379879457 z^4 - 3751565569 z^5 - 26896304529 z^6 - 7844260565 z^7 - 282079385 z^8 + 3024980 z^9)))/ (253879423665 (1 + Sqrt[1 - z])^(1/4) z^3)








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