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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=7/4





http://functions.wolfram.com/07.23.03.9634.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, -(7/2), z] == (1/160) (Sqrt[1 - Sqrt[z]] (80 + 40 Sqrt[z] + 260 z + 140 z^(3/2) + 709 z^2 + 392 z^(5/2) + 2184 z^3 + 1200 z^(7/2) + 13200 z^4 + 40128 z^(9/2) - 27456 z^5 - 54912 z^(11/2)) + Sqrt[1 + Sqrt[z]] (80 - 40 Sqrt[z] + 260 z - 140 z^(3/2) + 709 z^2 - 392 z^(5/2) + 2184 z^3 - 1200 z^(7/2) + 13200 z^4 - 40128 z^(9/2) - 27456 z^5 + 54912 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