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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 3 and fixed z > For fixed z and a=10/3, b>=a > For fixed z and a=10/3, b=11/3





http://functions.wolfram.com/07.23.03.8553.01









  


  










Input Form





Hypergeometric2F1[10/3, 11/3, -(11/2), -z] == ((80621568 + 1191407616 z + 8501207040 z^2 + 39797137408 z^3 + 143592198144 z^4 + 478528622592 z^5 + 2533198413824 z^6 - 7372412514255 z^7 + 2778731105892 z^8 - 154970628944 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + 9 Sqrt[z] Sqrt[1 + z] (-2985984 - 42024960 z - 285515776 z^2 - 1276166144 z^3 - 4440616960 z^4 - 14686683136 z^5 + 273569326405 z^6 - 163978315204 z^7 + 13101399984 z^8) Sinh[ArcSinh[Sqrt[z]]/3])/(80621568 (1 + z)^(25/2))










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