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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.bi4d.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 33/8, 21/4, z] == (16 2^(1/4) (586872 - 135432 z - 217569 z^2 - 633270 z^3 + 10638215 z^4 - 20969312 z^5 + 15592192 z^6 - 4100096 z^7 + (1/Sqrt[1 - z]) (4 (-146718 + 107217 z + 55803 z^2 + 136059 z^3 + 6743675 z^4 - 23937732 z^5 + 31352608 z^6 - 18411008 z^7 + 4100096 z^8))))/(607076575 (1 + Sqrt[1 - z])^(1/4) z^4)








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