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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.b5gv.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 29/8, -(3/2), z] == (1/5472) ((1/(1 - Sqrt[z])^(1/4)) (2736 - 684 Sqrt[z] + 38589 z - 9861 z^(3/2) + 872100 z^2 + 1603616 z^(5/2) - 13266944 z^3 - 7815936 z^(7/2) + 44155904 z^4 + 11776000 z^(9/2) - 54067200 z^5 - 5570560 z^(11/2) + 22282240 z^6) + (1/(1 + Sqrt[z])^(1/4)) (2736 + 684 Sqrt[z] + 38589 z + 9861 z^(3/2) + 872100 z^2 - 1603616 z^(5/2) - 13266944 z^3 + 7815936 z^(7/2) + 44155904 z^4 - 11776000 z^(9/2) - 54067200 z^5 + 5570560 z^(11/2) + 22282240 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