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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=-2/3, b>=a > For fixed z and a=-2/3, b=14/3





http://functions.wolfram.com/07.23.03.7190.01









  


  










Input Form





Hypergeometric2F1[-(2/3), 14/3, -(9/2), -z] == (1/(419904 (1 + z)^(17/2))) ((419904 + 3302208 z + 11013120 z^2 + 19534592 z^3 + 17150848 z^4 - 4954752 z^5 - 6729501 z^6 - 4021826 z^7 - 1248072 z^8 - 162656 z^9) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (139968 + 1002240 z + 2976512 z^2 + 4488704 z^3 + 2752640 z^4 + 5135785 z^5 + 3458786 z^6 + 1166744 z^7 + 162656 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