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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=19/4





http://functions.wolfram.com/07.23.03.abr9.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 19/4, -(3/2), -z] == (Sqrt[z] (9984 z^6 + z^2 (3223 - 2568 Sqrt[1 + z]) + 2 (1 + Sqrt[1 + z]) - 2496 z^5 (-13 + 2 Sqrt[1 + z]) - z (19 + 20 Sqrt[1 + z]) - 240 z^4 (-159 + 52 Sqrt[1 + z]) - 24 z^3 (-789 + 418 Sqrt[1 + z])))/ (4 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