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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=1/3, b>=a > For fixed z and a=1/3, b=11/3





http://functions.wolfram.com/07.23.03.7504.01









  


  








Input Form





Hypergeometric2F1[1/3, 11/3, -(11/2), -z] == (1/(2519424 (1 + z)^(19/2))) ((2519424 + 24634368 z + 108743040 z^2 + 286625024 z^3 + 504997632 z^4 + 643347456 z^5 + 745606912 z^6 + 66843405 z^7 + 13198596 z^8 + 1269968 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-839808 - 7620480 z - 30949632 z^2 - 74316288 z^3 - 118147840 z^4 - 136022272 z^5 + 60720345 z^6 + 12563612 z^7 + 1269968 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