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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=-19/4, b>=a > For fixed z and a=-19/4, b=19/4





http://functions.wolfram.com/07.23.03.a9si.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, -(3/2), -z] == (Sqrt[z] (113152 z^6 + z^2 (20194 - 16504 Sqrt[1 + z]) + 6 (1 + Sqrt[1 + z]) - 3328 z^5 (-98 + 17 Sqrt[1 + z]) - 2080 z^4 (-161 + 58 Sqrt[1 + z]) - z (82 + 85 Sqrt[1 + z]) - 16 z^3 (-8888 + 5031 Sqrt[1 + z])))/(12 Sqrt[2] (1 + z)^(3/2) 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