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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 4 and fixed z > For fixed z and a=-19/4, b>=a > For fixed z and a=-19/4, b=7/4





http://functions.wolfram.com/07.23.03.a9i8.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 7/4, 9/2, z] == (1/(288405 z^(7/2))) (8 ((1 + Sqrt[z])^(15/2) (760 - 5700 Sqrt[z] + 19836 z - 43795 z^(3/2) + 69426 z^2 - 79800 z^(5/2) + 63840 z^3 - 33264 z^(7/2) + 10080 z^4 - 1344 z^(9/2)) - (1 - Sqrt[z])^(15/2) (760 + 5700 Sqrt[z] + 19836 z + 43795 z^(3/2) + 69426 z^2 + 79800 z^(5/2) + 63840 z^3 + 33264 z^(7/2) + 10080 z^4 + 1344 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