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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=-47/8, b>=a > For fixed z and a=-47/8, b=29/8





http://functions.wolfram.com/07.23.03.b5hn.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 29/8, 9/2, z] == (1/(81531277245 z^(7/2))) (128 ((1 + Sqrt[z])^(27/4) (2144704 - 14476752 Sqrt[z] + 57102744 z - 170403435 z^(3/2) + 428270580 z^2 - 955465632 z^(5/2) + 1981706496 z^3 - 3605513472 z^(7/2) + 5015577600 z^4 - 4786974720 z^(9/2) + 2893676544 z^5 - 992673792 z^(11/2) + 147062784 z^6) - (1 - Sqrt[z])^(27/4) (2144704 + 14476752 Sqrt[z] + 57102744 z + 170403435 z^(3/2) + 428270580 z^2 + 955465632 z^(5/2) + 1981706496 z^3 + 3605513472 z^(7/2) + 5015577600 z^4 + 4786974720 z^(9/2) + 2893676544 z^5 + 992673792 z^(11/2) + 147062784 z^6)))








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