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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=45/8





http://functions.wolfram.com/07.23.03.c7m9.01









  


  










Input Form





Hypergeometric2F1[19/8, 45/8, -(1/2), z] == (1/(55796 (1 - z)^(17/2))) (4 Sqrt[1 - z] (13949 - 488215 z - 4135684 z^2 - 2741186 z^3 + 186001 z^4 - 25415 z^5 + 2070 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (41847 - 5152868 z - 22599262 z^2 - 11324556 z^3 + 793799 z^4 - 105800 z^5 + 8280 z^6) 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