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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=-29/8, b>=a > For fixed z and a=-29/8, b=13/8





http://functions.wolfram.com/07.23.03.bgp6.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 13/8, -(7/2), z] == -((1/(8960 (1 - z)^(3/2))) (Sqrt[1 - z] (-8960 - 3600 z - 3259 z^2 - 3954 z^3 - 9360 z^4 + 21216 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-3360 - 860 z - 719 z^2 - 963 z^3 - 9984 z^4 + 10608 z^5) 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