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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, -(3/2), z] == (1/16) ((16 + 125 z + 1664 z^2 - 19104 z^3 + 39424 z^4 - 22400 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] - (4 Sqrt[z] (-3 - 23 z - 1922 z^2 + 9004 z^3 - 12656 z^4 + 5600 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