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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=27/8





http://functions.wolfram.com/07.23.03.b9b6.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 15/4, z] == (4 2^(3/4) (-2 (3485 + 10455 z - 2511485 z^2 + 10929473 z^3 - 19734264 z^4 + 18174912 z^5 - 8479744 z^6 + 1597440 z^7) + (1/Sqrt[1 - z]) (6970 + 17425 z + 5312225 z^2 - 30469181 z^3 + 72827761 z^4 - 93342816 z^5 + 67639040 z^6 - 26251264 z^7 + 4259840 z^8)))/(41386085 (1 + Sqrt[1 - z])^(3/4) 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