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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=19/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 19/8, -(11/2), z] == (1/90112) ((1/(1 - Sqrt[z])^(27/4)) (45056 - 304128 Sqrt[z] + 896256 z - 1532160 z^(3/2) + 1723680 z^2 - 1393308 z^(5/2) + 858249 z^3 - 398088 z^(7/2) + 123120 z^4 - 18240 z^(9/2)) + (1/(1 + Sqrt[z])^(27/4)) (45056 + 304128 Sqrt[z] + 896256 z + 1532160 z^(3/2) + 1723680 z^2 + 1393308 z^(5/2) + 858249 z^3 + 398088 z^(7/2) + 123120 z^4 + 18240 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