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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=3/8





http://functions.wolfram.com/07.23.03.b8ye.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, -(9/2), z] == (1/43008) ((1 + Sqrt[z])^(1/4) (21504 - 5376 Sqrt[z] + 12544 z - 4816 z^(3/2) + 10924 z^2 - 4677 z^(5/2) + 10924 z^3 - 4816 z^(7/2) + 12544 z^4 - 5376 z^(9/2) + 21504 z^5) + (1 - Sqrt[z])^(1/4) (21504 + 5376 Sqrt[z] + 12544 z + 4816 z^(3/2) + 10924 z^2 + 4677 z^(5/2) + 10924 z^3 + 4816 z^(7/2) + 12544 z^4 + 5376 z^(9/2) + 21504 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