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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=1/8, b>=a > For fixed z and a=1/8, b=21/8





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









  


  










Input Form





Hypergeometric2F1[1/8, 21/8, -(11/2), -z] == (1/(45056 (1 + z)^(65/8))) ((45056 + 367360 z + 1316640 z^2 + 2717039 z^3 + 3553420 z^4 + 3074266 z^5 + 1952860 z^6 + 445295 z^7 + 51504 z^8) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (2816 + 22080 z + 75621 z^2 + 147875 z^3 + 181220 z^4 + 144976 z^5 - 26825 z^6 - 3219 z^7) 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