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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=11/8, b>=a > For fixed z and a=11/8, b=37/8





http://functions.wolfram.com/07.23.03.c3oc.01









  


  








Input Form





Hypergeometric2F1[11/8, 37/8, -(3/2), z] == -((1/(18096 (1 - z)^(15/2))) (Sqrt[1 - z] (-18096 + 208481 z - 1997723 z^2 - 3809421 z^3 + 416047 z^4 - 79120 z^5 + 8280 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-3393 + 39585 z - 886256 z^2 - 1002018 z^3 + 113643 z^4 - 20815 z^5 + 2070 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