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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=-17/4, b>=a > For fixed z and a=-17/4, b=-3/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(3/4), -(11/2), z] == (1/29568) ((1/Sqrt[1 + Sqrt[z]]) (14784 + 7392 Sqrt[z] - 10416 z - 3360 z^(3/2) - 280 z^2 - 518 z^(5/2) - 79 z^3 - 148 z^(7/2) - 20 z^4 - 40 z^(9/2)) + (1/Sqrt[1 - Sqrt[z]]) (14784 - 7392 Sqrt[z] - 10416 z + 3360 z^(3/2) - 280 z^2 + 518 z^(5/2) - 79 z^3 + 148 z^(7/2) - 20 z^4 + 40 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