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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=-9/4, b>=a > For fixed z and a=-9/4, b=21/4





http://functions.wolfram.com/07.23.03.aeo4.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 21/4, 9/2, -z] == (8 Sqrt[2] (z^2 (1789 - 2038 Sqrt[1 + z]) - 120 (-1 + Sqrt[1 + z]) + 64064 z^6 (-1 + 2 Sqrt[1 + z]) + 12 z (-34 + 39 Sqrt[1 + z]) + 1232 z^5 (-123 + 220 Sqrt[1 + z]) + 7 z^3 (-2621 + 2776 Sqrt[1 + z]) + 56 z^4 (-1931 + 2938 Sqrt[1 + z])))/(1062347 z^(7/2) Sqrt[1 + z] Sqrt[-1 + Sqrt[1 + z]])








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