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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=-15/4, b>=a > For fixed z and a=-15/4, b=23/4





http://functions.wolfram.com/07.23.03.abv5.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 23/4, -(1/2), -z] == (Sqrt[z] (-113152 z^6 + 19 (1 + Sqrt[1 + z]) + 3328 z^5 (-123 + 17 Sqrt[1 + z]) + 2080 z^4 (-271 + 78 Sqrt[1 + z]) + z (-10443 + 8885 Sqrt[1 + z]) + 16 z^3 (-22663 + 10231 Sqrt[1 + z]) + 2 z^2 (-52797 + 33452 Sqrt[1 + z])))/(38 Sqrt[2] (1 + z)^(5/2) 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