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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=43/8





http://functions.wolfram.com/07.23.03.b9k4.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, 9/2, z] == (1/(532100883483 z^(7/2))) (128 ((1 - Sqrt[z])^(17/4) (223040 + 947920 Sqrt[z] + 3931080 z + 11315795 z^(3/2) + 36034900 z^2 + 93844080 z^(5/2) + 382736640 z^3 + 3225700608 z^(7/2) + 9020703744 z^4 + 5170380800 z^(9/2) - 15265562624 z^5 - 28633792512 z^(11/2) - 18712625152 z^6 - 4402970624 z^(13/2)) + (1 + Sqrt[z])^(17/4) (-223040 + 947920 Sqrt[z] - 3931080 z + 11315795 z^(3/2) - 36034900 z^2 + 93844080 z^(5/2) - 382736640 z^3 + 3225700608 z^(7/2) - 9020703744 z^4 + 5170380800 z^(9/2) + 15265562624 z^5 - 28633792512 z^(11/2) + 18712625152 z^6 - 4402970624 z^(13/2))))








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