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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.bxny.01









  


  








Input Form





Hypergeometric2F1[1/8, 21/8, -(9/2), -z] == (1/(15360 (1 + z)^(57/8))) ((15360 + 110080 z + 340660 z^2 + 593837 z^3 + 641847 z^4 + 488215 z^5 + 129833 z^6 + 17168 z^7) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (3840 + 26320 z + 77255 z^2 + 126313 z^3 + 126313 z^4 - 31117 z^5 - 4292 z^6) 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