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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=9/8, b>=a > For fixed z and a=9/8, b=15/8





http://functions.wolfram.com/07.23.03.c26r.01









  


  








Input Form





Hypergeometric2F1[9/8, 15/8, -(9/2), -z] == (1/(7168 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-7168 - 53760 z - 178580 z^2 - 351723 z^3 - 488361 z^4 - 784609 z^5 + 69745 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-1792 - 14000 z - 48607 z^2 - 100236 z^3 - 144586 z^4 - 2353916 z^5 + 69745 z^6) 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