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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=-15/8, b>=a > For fixed z and a=-15/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 39/8, -(5/2), -z] == (1/(45632 (1 + z)^(11/2))) (Sqrt[1 + z] (45632 + 62744 z - 90551 z^2 + 377890 z^3 + 1762761 z^4 + 2380136 z^5 + 1394448 z^6 + 307648 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (11408 + 19251 z - 19251 z^2 + 1036889 z^3 + 2797751 z^4 + 3038904 z^5 + 1548272 z^6 + 307648 z^7) 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