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





http://functions.wolfram.com/07.23.03.b977.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, 11/2, z] == (1/(11409570601 z^(9/2))) (512 ((1 + Sqrt[z])^(33/4) (262400 - 2164800 Sqrt[z] + 8478800 z - 21557800 z^(3/2) + 40677945 z^2 - 60361840 z^(5/2) + 71221920 z^3 - 64944000 z^(7/2) + 43296000 z^4 - 19531776 z^(9/2) + 5271552 z^5 - 638976 z^(11/2)) - (1 - Sqrt[z])^(33/4) (262400 + 2164800 Sqrt[z] + 8478800 z + 21557800 z^(3/2) + 40677945 z^2 + 60361840 z^(5/2) + 71221920 z^3 + 64944000 z^(7/2) + 43296000 z^4 + 19531776 z^(9/2) + 5271552 z^5 + 638976 z^(11/2))))








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