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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=-17/8, b>=a > For fixed z and a=-17/8, b=35/8





http://functions.wolfram.com/07.23.03.bo6n.01









  


  








Input Form





Hypergeometric2F1[-(17/8), 35/8, -(9/2), -z] == (1/(27648 (1 + z)^(47/8))) ((27648 + 62976 z - 12540 z^2 - 78375 z^3 + 63954 z^4 + 99693 z^5 - 80416 z^6 - 136960 z^7 - 45056 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (48384 + 143472 z + 74613 z^2 - 91542 z^3 + 47025 z^4 + 339388 z^5 + 293888 z^6 + 78848 z^7) Sin[(7 ArcTan[Sqrt[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