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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=-5/8





http://functions.wolfram.com/07.23.03.b8vq.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(5/8), -(11/2), z] == (1/1892352) ((1 + Sqrt[z])^(1/4) (946176 - 236544 Sqrt[z] - 403200 z + 26880 z^(3/2) - 90720 z^2 + 11676 z^(5/2) - 39019 z^3 + 5560 z^(7/2) - 19440 z^4 + 2240 z^(9/2) - 8960 z^5) - (1 - Sqrt[z])^(1/4) (-946176 - 236544 Sqrt[z] + 403200 z + 26880 z^(3/2) + 90720 z^2 + 11676 z^(5/2) + 39019 z^3 + 5560 z^(7/2) + 19440 z^4 + 2240 z^(9/2) + 8960 z^5))








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