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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=19/8





http://functions.wolfram.com/07.23.03.bnx8.01









  


  








Input Form





Hypergeometric2F1[-(17/8), 19/8, -(9/2), -z] == (1/(64512 (1 + z)^(31/8))) ((64512 + 78848 z - 62700 z^2 - 46189 z^3 + 59147 z^4 - 10032 z^5 - 34048 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + 7 Sqrt[z] (16128 + 30800 z + 4807 z^2 - 9405 z^3 + 8360 z^4 + 8512 z^5) 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