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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.a993.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(5/4), 3/2, -z] == -((Sqrt[2] (-40 z^6 + 1045 (-1 + Sqrt[1 + z]) + 4 z^5 (-106 + 5 Sqrt[1 + z]) + 28 z^3 (-497 + 37 Sqrt[1 + z]) + z^4 (-2365 + 197 Sqrt[1 + z]) - 4 z (-3767 + 5638 Sqrt[1 + z]) + z^2 (4178 + 32174 Sqrt[1 + z])))/(13923 Sqrt[z] Sqrt[1 + z] 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