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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=-27/8, b>=a > For fixed z and a=-27/8, b=25/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), 25/8, -(5/2), z] == (1/2176) ((1/(1 - Sqrt[z])^(9/4)) (1088 - 2448 Sqrt[z] + 6120 z - 10455 z^(3/2) + 21420 z^2 - 34272 z^(5/2) + 91392 z^3 - 467712 z^(7/2) + 709632 z^4 - 315392 z^(9/2)) + (1/(1 + Sqrt[z])^(9/4)) (1088 + 2448 Sqrt[z] + 6120 z + 10455 z^(3/2) + 21420 z^2 + 34272 z^(5/2) + 91392 z^3 + 467712 z^(7/2) + 709632 z^4 + 315392 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