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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=-1/4





http://functions.wolfram.com/07.23.03.a9b5.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(1/4), -(9/2), z] == (1/4032) (Sqrt[1 + Sqrt[z]] (2016 - 1008 Sqrt[z] + 224 z - 364 z^(3/2) + 138 z^2 - 223 z^(5/2) + 92 z^3 - 156 z^(7/2) + 56 z^4 - 112 z^(9/2)) + Sqrt[1 - Sqrt[z]] (2016 + 1008 Sqrt[z] + 224 z + 364 z^(3/2) + 138 z^2 + 223 z^(5/2) + 92 z^3 + 156 z^(7/2) + 56 z^4 + 112 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