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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=-27/8, b>=a > For fixed z and a=-27/8, b=33/8





http://functions.wolfram.com/07.23.03.bi2y.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 33/8, -(23/4), z] == (625600 - 2278000 z + 2363000 z^2 - 81855 z^3 - 191335 z^4 - 379525 z^5 - 1192125 z^6 + 3249056 z^7 - 2396416 z^8 + 585728 z^9 + (1/Sqrt[1 - z]) (625600 - 2590800 z + 3423800 z^2 - 1017705 z^3 - 327845 z^4 - 349435 z^5 - 1016175 z^6 + 13009744 z^7 - 19394176 z^8 + 11196416 z^9 - 2342912 z^10))/(625600 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^6)








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