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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.cdm6.01









  


  








Input Form





Hypergeometric2F1[41/8, 45/8, -(9/2), -z] == (1/(1024 (1 + z)^(121/8))) ((1024 + 22016 z + 245964 z^2 + 2022663 z^3 + 15903537 z^4 + 220947155 z^5 - 1586399763 z^6 + 2088944373 z^7 - 778297101 z^8 + 73822961 z^9 - 817949 z^10) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (256 + 5424 z + 59817 z^2 + 487407 z^3 + 3828253 z^4 - 791430133 z^5 + 2147709723 z^6 - 1490387763 z^7 + 290761311 z^8 - 11439031 z^9) Sin[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