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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=41/8, b>=a > For fixed z and a=41/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[41/8, 45/8, 11/2, -z] == (1024 (Sqrt[z] (-448 - 2232 z - 4533 z^2 - 4942 z^3 + 8415 z^4) Cos[ArcTan[Sqrt[z]]/4] + (1792 + 9488 z + 20775 z^2 + 24778 z^3 + 22307 z^4) Sin[ArcTan[Sqrt[z]]/4]))/(13042315 z^(9/2) (1 + z)^(41/8))








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