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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=3/8, b>=a > For fixed z and a=3/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[3/8, 45/8, 1/2, z] == -((1/(97643 (1 - z)^(11/2))) (Sqrt[1 - z] (-97643 + 168436 z - 268775 z^2 + 240078 z^3 - 111696 z^4 + 21216 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-79743 + 139483 z - 188089 z^2 + 146637 z^3 - 61152 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