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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=-13/8





http://functions.wolfram.com/07.23.03.b8tm.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(13/8), -(7/2), z] == (1/3584) ((1 + Sqrt[z])^(13/4) (1792 - 5824 Sqrt[z] + 8112 z - 7800 z^(3/2) + 6591 z^2 - 4680 z^(5/2) + 2704 z^3 - 832 z^(7/2)) + (1 - Sqrt[z])^(13/4) (1792 + 5824 Sqrt[z] + 8112 z + 7800 z^(3/2) + 6591 z^2 + 4680 z^(5/2) + 2704 z^3 + 832 z^(7/2)))








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