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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=37/8





http://functions.wolfram.com/07.23.03.bz7b.01









  


  








Input Form





Hypergeometric2F1[3/8, 37/8, -(3/2), z] == (1/(6032 (1 - z)^(13/2))) (Sqrt[1 - z] (6032 - 44863 z + 197925 z^2 - 98273 z^3 + 57775 z^4 - 20340 z^5 + 3120 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (4524 - 34307 z + 240989 z^2 - 124813 z^3 + 67555 z^4 - 21900 z^5 + 3120 z^6) Sin[(3 ArcSin[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