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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=-21/8, b>=a > For fixed z and a=-21/8, b=-19/8





http://functions.wolfram.com/07.23.03.bl4o.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(19/8), 5/2, z] == (1/(909075 z^(3/2))) (16 (Sqrt[z] (-741 + 80452 z + 340242 z^2 + 205476 z^3 + 13547 z^4) Cos[(3 ArcSin[Sqrt[z]])/4] + ((988 - 32357 z - 216548 z^2 + 60530 z^3 + 173840 z^4 + 13547 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