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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=13/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 13/8, -(5/2), z] == -((1/(320 (1 - z)^(3/2))) (Sqrt[1 - z] (-320 - 136 z - 141 z^2 - 300 z^3 + 624 z^4) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-240 - 67 z - 69 z^2 - 612 z^3 + 624 z^4) 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