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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=-47/8, b>=a > For fixed z and a=-47/8, b=21/8





http://functions.wolfram.com/07.23.03.b5bl.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, -(11/2), z] == (1/270336) ((1/(1 - Sqrt[z])^(9/4)) (135168 - 304128 Sqrt[z] + 569088 z - 868608 z^(3/2) + 1274208 z^2 - 1719900 z^(5/2) + 2307955 z^3 - 2948400 z^(7/2) + 3822624 z^4 - 4777344 z^(9/2) + 6259968 z^5 - 7907328 z^(11/2) + 12300288 z^6 - 14598144 z^(13/2) + 6488064 z^7) + (1/(1 + Sqrt[z])^(9/4)) (135168 + 304128 Sqrt[z] + 569088 z + 868608 z^(3/2) + 1274208 z^2 + 1719900 z^(5/2) + 2307955 z^3 + 2948400 z^(7/2) + 3822624 z^4 + 4777344 z^(9/2) + 6259968 z^5 + 7907328 z^(11/2) + 12300288 z^6 + 14598144 z^(13/2) + 6488064 z^7))








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