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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=41/8





http://functions.wolfram.com/07.23.03.bi8j.01









  


  










Input Form





Hypergeometric2F1[-(27/8), 41/8, 1/4, z] == -((-425 (1 + Sqrt[1 - z]) + (40229 + 19696 Sqrt[1 - z]) z - 32 (10043 + 3228 Sqrt[1 - z]) z^2 + 768 (1097 + 216 Sqrt[1 - z]) z^3 - 4096 (217 + 20 Sqrt[1 - z]) z^4 + 327680 z^5)/ (425 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(3/2)))










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