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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.a7qm.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, -(1/2), z] == (1/4) ((-Sqrt[1 + Sqrt[z]]) (-2 + Sqrt[z] - 110 z + 820 z^(3/2) + 2560 z^2 - 9296 z^(5/2) - 11872 z^3 + 32000 z^(7/2) + 18944 z^4 - 42752 z^(9/2) - 9728 z^5 + 19456 z^(11/2)) + Sqrt[1 - Sqrt[z]] (2 + Sqrt[z] + 110 z + 820 z^(3/2) - 2560 z^2 - 9296 z^(5/2) + 11872 z^3 + 32000 z^(7/2) - 18944 z^4 - 42752 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