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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=-23/4, b>=a > For fixed z and a=-23/4, b=19/4





http://functions.wolfram.com/07.23.03.a7qp.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 1/2, z] == (1/42) (Sqrt[1 - Sqrt[z]] (21 + 229 Sqrt[z] - 1030 z - 4500 z^(3/2) + 8080 z^2 + 24752 z^(5/2) - 22176 z^3 - 55552 z^(7/2) + 24832 z^4 + 54528 z^(9/2) - 9728 z^5 - 19456 z^(11/2)) + Sqrt[1 + Sqrt[z]] (21 - 229 Sqrt[z] - 1030 z + 4500 z^(3/2) + 8080 z^2 - 24752 z^(5/2) - 22176 z^3 + 55552 z^(7/2) + 24832 z^4 - 54528 z^(9/2) - 9728 z^5 + 19456 z^(11/2)))








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