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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=3/8, b>=a > For fixed z and a=3/8, b=7/8





http://functions.wolfram.com/07.23.03.bym2.01









  


  








Input Form





Hypergeometric2F1[3/8, 7/8, -(11/2), -z] == (1/(135168 (1 + z)^(51/8))) ((135168 + 831744 z + 2152032 z^2 + 3017885 z^3 + 2462469 z^4 + 1181859 z^5 + 435643 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (50688 + 304512 z + 764298 z^2 + 1029627 z^3 + 794504 z^4 + 352263 z^5) Sin[(3 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