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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 8 and fixed z and a>0 > For fixed z and a=1/8, b>=a > For fixed z and a=1/8, b=47/8





http://functions.wolfram.com/07.23.03.by7t.01









  


  








Input Form





Hypergeometric2F1[1/8, 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(19/2))) (Sqrt[1 + z] (1277696 + 11807280 z + 49179175 z^2 + 123664146 z^3 + 237082482 z^4 + 199557584 z^5 + 124391295 z^6 + 51247350 z^7 + 12469072 z^8 + 1357664 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (159712 + 1525820 z + 6587407 z^2 + 17195421 z^3 + 162032686 z^4 + 128036798 z^5 + 74270595 z^6 + 28656089 z^7 + 6573952 z^8 + 678832 z^9) Sinh[ArcSinh[Sqrt[z]]/4])








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