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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=-5/4





http://functions.wolfram.com/07.23.03.a98z.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(5/4), 1/2, -z] == (1/(663 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-3326 + 40 z^5 + 3989 Sqrt[1 + z] + z (1674 - 11293 Sqrt[1 + z]) + z^3 (1510 - 159 Sqrt[1 + z]) - 4 z^4 (-87 + 5 Sqrt[1 + z]) - 7 z^2 (-886 + 91 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