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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=-43/8, b>=a > For fixed z and a=-43/8, b=25/8





http://functions.wolfram.com/07.23.03.b814.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, 9/2, z] == (1/(4732389909 z^(7/2))) (128 ((1 + Sqrt[z])^(27/4) (784320 - 5294160 Sqrt[z] + 19470744 z - 52787187 z^(3/2) + 116824464 z^2 - 222354720 z^(5/2) + 362355840 z^3 - 465769728 z^(7/2) + 426276864 z^4 - 252981248 z^(9/2) + 86261760 z^5 - 12779520 z^(11/2)) - (1 - Sqrt[z])^(27/4) (784320 + 5294160 Sqrt[z] + 19470744 z + 52787187 z^(3/2) + 116824464 z^2 + 222354720 z^(5/2) + 362355840 z^3 + 465769728 z^(7/2) + 426276864 z^4 + 252981248 z^(9/2) + 86261760 z^5 + 12779520 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