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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=17/8, b>=a > For fixed z and a=17/8, b=31/8





http://functions.wolfram.com/07.23.03.c6fy.01









  


  








Input Form





Hypergeometric2F1[17/8, 31/8, -(9/2), -z] == (1/(1483776 (1 + z)^(21/2))) (2 Sqrt[1 + z] (741888 + 8799616 z + 50181630 z^2 + 190681937 z^3 + 608630209 z^4 + 2915602866 z^5 - 3394507944 z^6 + 210699645 z^7 + 6653673 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (370944 + 4515728 z + 26416489 z^2 + 102626207 z^3 + 331097972 z^4 + 31270809630 z^5 - 16997865087 z^6 + 428052963 z^7 + 13307346 z^8) 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