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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=-19/8, b>=a > For fixed z and a=-19/8, b=41/8





http://functions.wolfram.com/07.23.03.bn1u.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, -(11/2), z] == (1/811008) ((1/(1 - Sqrt[z])^(33/4)) (405504 - 3345408 Sqrt[z] + 13024512 z - 32668416 z^(3/2) + 60837920 z^2 - 91026804 z^(5/2) + 113980713 z^3 - 121369072 z^(7/2) + 109508256 z^4 - 81671040 z^(9/2) + 47756544 z^5 - 20072448 z^(11/2) + 5271552 z^6 - 638976 z^(13/2)) + (1/(1 + Sqrt[z])^(33/4)) (405504 + 3345408 Sqrt[z] + 13024512 z + 32668416 z^(3/2) + 60837920 z^2 + 91026804 z^(5/2) + 113980713 z^3 + 121369072 z^(7/2) + 109508256 z^4 + 81671040 z^(9/2) + 47756544 z^5 + 20072448 z^(11/2) + 5271552 z^6 + 638976 z^(13/2)))








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