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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=11/8, b>=a > For fixed z and a=11/8, b=45/8





http://functions.wolfram.com/07.23.03.c3uo.01









  


  








Input Form





Hypergeometric2F1[11/8, 45/8, -(1/2), -z] == (1/(55796 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-55796 - 1269359 z + 4698015 z^2 + 884191 z^3 + 313465 z^4 + 78660 z^5 + 9360 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-41847 - 2719136 z + 5105478 z^2 + 1031676 z^3 + 351625 z^4 + 83340 z^5 + 9360 z^6) Sinh[(3 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