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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=-13/8, b>=a > For fixed z and a=-13/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, 5/2, z] == (1/(7511 (-1 + z) z^(3/2))) (16 (Sqrt[z] (-3 - 544 z + 3232 z^2 - 5376 z^3 + 2688 z^4) Cos[(3 ArcSin[Sqrt[z]])/4] + (4 (1 + 24 z - 414 z^2 + 1396 z^3 - 1680 z^4 + 672 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