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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





http://functions.wolfram.com/07.23.03.bfs6.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, -(1/2), z] == (1/2120248) ((1/(1 + Sqrt[z])^(9/4)) (1060124 + 2385279 Sqrt[z] + 47705580 z - 10038240 z^(3/2) - 1072108800 z^2 - 1363025664 z^(5/2) + 3282779136 z^3 + 6045511680 z^(7/2) - 843448320 z^4 - 5865799680 z^(9/2) - 2607022080 z^5) + (1/(1 - Sqrt[z])^(9/4)) (1060124 - 2385279 Sqrt[z] + 47705580 z + 10038240 z^(3/2) - 1072108800 z^2 + 1363025664 z^(5/2) + 3282779136 z^3 - 6045511680 z^(7/2) - 843448320 z^4 + 5865799680 z^(9/2) - 2607022080 z^5))








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