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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=5, b>=a > For fixed z and a=5, b=41/8





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









  


  










Input Form





Hypergeometric2F1[5, 41/8, 6, -z] == (1/(8415 z^5 (1 + z)^(33/8))) (8 (32768 (-1 + (1 + z)^(1/8)) + 4096 z (-33 + 32 (1 + z)^(1/8)) + 768 z^2 (-275 + 256 (1 + z)^(1/8)) + 32 z^3 (-4675 + 4096 (1 + z)^(1/8)) + z^4 (-42075 + 32768 (1 + z)^(1/8))))










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