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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=-1/4





http://functions.wolfram.com/07.23.03.a9bl.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(1/4), 1/2, -z] == (1/(663 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-112 z^5 + z^4 (-716 + 56 Sqrt[1 + z]) + z^3 (-1967 + 316 Sqrt[1 + z]) + z^2 (-3089 + 750 Sqrt[1 + z]) + 3 (-621 + 842 Sqrt[1 + z]) + z (-3589 + 1000 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