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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.b9b8.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 9/2, z] == (1/(19707440129 z^(7/2))) (128 ((1 + Sqrt[z])^(25/4) (1115200 - 6970000 Sqrt[z] + 24785320 z - 66476375 z^(3/2) + 148711920 z^2 - 292740000 z^(5/2) + 515222400 z^3 - 739778816 z^(7/2) + 759449600 z^4 - 499838976 z^(9/2) + 186368000 z^5 - 29818880 z^(11/2)) - (1 - Sqrt[z])^(25/4) (1115200 + 6970000 Sqrt[z] + 24785320 z + 66476375 z^(3/2) + 148711920 z^2 + 292740000 z^(5/2) + 515222400 z^3 + 739778816 z^(7/2) + 759449600 z^4 + 499838976 z^(9/2) + 186368000 z^5 + 29818880 z^(11/2))))








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