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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=19/8





http://functions.wolfram.com/07.23.03.b95y.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, -(21/4), z] == (297024 + 38896 z + 14248 z^2 - 7505 z^3 - 40915 z^4 - 131488 z^5 - 1163008 z^6 + 1118208 z^7 + (1/Sqrt[1 - z]) (297024 - 109616 z - 42328 z^2 - 38055 z^3 - 52977 z^4 - 120624 z^5 - 1099392 z^6 + 2824192 z^7 - 1490944 z^8))/(297024 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^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