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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=-9/8, b>=a > For fixed z and a=-9/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 43/8, -(5/2), z] == (1/36480) ((1/(1 - Sqrt[z])^(27/4)) (18240 - 123120 Sqrt[z] + 398088 z - 858249 z^(3/2) + 1393308 z^2 - 1723680 z^(5/2) + 1532160 z^3 - 896256 z^(7/2) + 304128 z^4 - 45056 z^(9/2)) + (1/(1 + Sqrt[z])^(27/4)) (18240 + 123120 Sqrt[z] + 398088 z + 858249 z^(3/2) + 1393308 z^2 + 1723680 z^(5/2) + 1532160 z^3 + 896256 z^(7/2) + 304128 z^4 + 45056 z^(9/2)))








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