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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.b8ym.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, -(5/2), z] == (1/8320) ((1 + Sqrt[z])^(9/4) (4160 - 9360 Sqrt[z] + 18408 z - 28743 z^(3/2) + 46020 z^2 - 65520 z^(5/2) + 116480 z^3 - 145152 z^(7/2) + 64512 z^4) + (1 - Sqrt[z])^(9/4) (4160 + 9360 Sqrt[z] + 18408 z + 28743 z^(3/2) + 46020 z^2 + 65520 z^(5/2) + 116480 z^3 + 145152 z^(7/2) + 64512 z^4))








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