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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=-5/3, b>=a > For fixed z and a=-5/3, b=14/3





http://functions.wolfram.com/07.23.03.6799.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 14/3, -(9/2), -z] == (1/(209952 (1 + z)^(15/2))) ((209952 + 1223424 z + 2655360 z^2 + 2188032 z^3 - 275264 z^4 + 813824 z^5 + 2013463 z^6 + 1736380 z^7 + 703664 z^8 + 113152 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-69984 - 358560 z - 638176 z^2 - 305184 z^3 + 269280 z^4 + 1373787 z^5 + 1426980 z^6 + 647088 z^7 + 113152 z^8) Sinh[ArcSinh[Sqrt[z]]/3])








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