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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=19/8, b>=a > For fixed z and a=19/8, b=29/8





http://functions.wolfram.com/07.23.03.c79u.01









  


  










Input Form





Hypergeometric2F1[19/8, 29/8, 1/2, z] == -((1/(143 (1 - z)^(11/2))) (Sqrt[1 - z] (-143 - 1468 z - 715 z^2 + 22 z^3) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-213 - 971 z - 363 z^2 + 11 z^3) 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