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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=7/4





http://functions.wolfram.com/07.23.03.a9ho.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 7/4, -(1/2), -z] == (1/(26 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-4928 z^5 + 13 (1 + Sqrt[1 + z]) + 112 z^4 (-151 + 22 Sqrt[1 + z]) + 56 z^3 (-377 + 118 Sqrt[1 + z]) + 3 z (-680 + 537 Sqrt[1 + z]) + 3 z^2 (-3727 + 1918 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