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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.bn1z.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, -(9/2), z] == (1/460800) ((1/(1 - Sqrt[z])^(29/4)) (230400 - 1670400 Sqrt[z] + 5843200 z - 13653200 z^(3/2) + 24575100 z^2 - 36453725 z^(5/2) + 45873520 z^3 - 49151520 z^(7/2) + 43824000 z^4 - 30624000 z^(9/2) + 15206400 z^5 - 4632576 z^(11/2) + 638976 z^6) + (1/(1 + Sqrt[z])^(29/4)) (230400 + 1670400 Sqrt[z] + 5843200 z + 13653200 z^(3/2) + 24575100 z^2 + 36453725 z^(5/2) + 45873520 z^3 + 49151520 z^(7/2) + 43824000 z^4 + 30624000 z^(9/2) + 15206400 z^5 + 4632576 z^(11/2) + 638976 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