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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=-37/8, b>=a > For fixed z and a=-37/8, b=5/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 5/8, -(9/2), z] == (1/64512) (2 (32256 + 11648 z + 9010 z^2 + 8109 z^3 + 8112 z^4 + 10608 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + (Sqrt[z] (48384 + 10416 z + 6557 z^2 + 5454 z^3 + 5616 z^4 + 21216 z^5) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[1 - z])








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