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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.a992.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(5/4), 3/2, z] == (1/(13923 Sqrt[z])) ((1 + Sqrt[z])^(15/2) (1045 - 876 Sqrt[z] + 300 z - 40 z^(3/2)) - (1 - Sqrt[z])^(15/2) (1045 + 876 Sqrt[z] + 300 z + 40 z^(3/2)))










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