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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=-3/4





http://functions.wolfram.com/07.23.03.ae50.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(3/4), 11/2, -z] == (16 Sqrt[2] (-80 - 820 z - 4057 z^2 - 14046 z^3 - 58854 z^4 + 121876 z^5 - 13481 z^6 - 442 z^7 + (80 + 860 z + 4457 z^2 + 15977 z^3 + 65418 z^4 + 5614 z^5 - 47283 z^6 + 221 z^7)/Sqrt[1 + z]))/ (3187041 z^(9/2) 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