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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.bfs9.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, 1/4, z] == -((1/(1185665 2^(3/4) (1 - z)^(3/2))) ((1 + Sqrt[1 - z])^(3/4) (-67874008 + 66688343 Sqrt[1 - z] + (931926756 - 793651232 Sqrt[1 - z]) z + 8448 (-470797 + 315497 Sqrt[1 - z]) z^2 - 146432 (-50059 + 23028 Sqrt[1 - z]) z^3 + 28114944 (-218 + 51 Sqrt[1 - z]) z^4 + 1911816192 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