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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=-17/3, b>=a > For fixed z and a=-17/3, b=17/3





http://functions.wolfram.com/07.23.03.4921.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 17/3, -(7/2), -z] == (1/(1701 (1 + z)^(7/2))) ((1701 - 9558 z + 49358 z^2 - 328328 z^3 + 5258253 z^4 + 59458828 z^5 + 182175344 z^6 + 248185600 z^7 + 159028480 z^8 + 39203840 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-567 + 3585 z - 19019 z^2 + 123123 z^3 + 22464156 z^4 + 105467024 z^5 + 183372800 z^6 + 139426560 z^7 + 39203840 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